Tuesday, November 3, 2015

Advanced Math Solutions – Ordinary Differential Equations Calculator, Exact Differential Equations

In the previous posts, we have covered three types of ordinary differential equations, (ODE). We have now reached the last type of ODE. In this post, we will talk about exact differential equations.

What is an exact differential equation?

There must be a 0 on the right side of the equation and M(x,y)dx and N(x,y)dx must be separated by a +.

Steps to solve exact differential equations:
  1. Verify that \frac{∂M(x,y)}{∂y}=\frac{∂N(x,y)}{∂x}
    • Find M(x,y) and N(x,y)
  2. Integrate \int M(x,y)dx or \int N(x,y)dy
    • This will help us find Ψ(x,y)
  3. Replace c with ƞ(x) if you integrated N(x,y) with respect to y, or ƞ(y) if you integrated M(x,y) with respect to x
  4. Compute ƞ(x) or ƞ(y)
  5. Solve to get the implicit or explicit solution, depending on which is preferred
    • Don’t forget to substitute ƞ(x) or ƞ(y)

Exact differential equations can be tricky. We will solve the first example step by step to help you better understand how to solve exact differential equations.

First example (click here):

1. Verify that \frac{∂M(x,y)}{∂y}=\frac{∂N(x,y)}{∂x}

2. Integrate \int N(x,y)dy

3. Replace c with ƞ(x)

4. Compute ƞ(x)

We took the derivative with respect to x of Ψ(x,y), which is equal to y+x^2 y+y^2+ƞ(x). We then compared the derivative to M(x,y), the equation we didn’t integrate. We then integrated both sides to solve for ƞ(x).

5. Find the implicit equation

Here’s another example (click here):

Exact differential equations may look scary because of the odd looking symbols and multiple steps. If you double check your work, memorize the steps, and practice, you can definitely get this concept down. Don’t be afraid and dive in!

Until next time,



  1. Find the function u(u,t), define for 0<x<π and t≥0, which satisfies the following condition:
    du/dt=(d^2 u)/〖dx〗^2 u(θ,t)=u(π,t)=0

    1. IEEE Project Domain management in software engineering is distinct from traditional project deveopment in that software projects have a unique lifecycle process that requires multiple rounds of testing, updating, and faculty feedback. A IEEE Domain project Final Year Projects for CSE system development life cycle is essentially a phased project model that defines the organizational constraints of a large-scale systems project. The methods used in a IEEE DOmain Project systems development life cycle strategy Project Centers in Chennai For CSE provide clearly defined phases of work to plan, design, test, deploy, and maintain information systems.

      This is enough for me. I want to write software that anyone can use, and virtually everyone who has an internet connected device with a screen can use apps written in JavaScript. JavaScript Training in Chennai JavaScript was used for little more than mouse hover animations and little calculations to make static websites feel more interactive. Let’s assume 90% of all websites using JavaScript use it in a trivial way. That still leaves 150 million substantial JavaScript Training in Chennai JavaScript applications.

  2. Thanks. This is a good help to those students who afraid to differential equations. But I think that the way it can be memorized should be applications of differential equatons.

  3. This is really interesting but i need urgent solution to this questions
    1. solve d^2y/dx^2-4dy/dx+4y=8(x^2+e^2x)
    2. determine the regular singular point of the differential equation 2x(x-1)y"+3(x+1)y'-y=0

  4. This was really informative and valuable information. Visit for the creative Website Designing and Development Services by Ogen Info system.
    Top 5 Website Designing Company in India

  5. Visit for the best Logistics and Freight Forwarders Companies in Delhi at Y & H Cargo India.
    Logistics Company in Delhi

  6. Spin Gurus is provided you the best service of Music Production.
    Sound Engineering Courses

  7. Nice Blog. If you Need best Mutual Fund in India MutualFundWala is best for you.
    Mutual Fund Agent

  8. Good Job if You Travel to kashmir and Want To Get Best Saffron walnuts i Suggest Go to kashmir online shopping

  9. zederex
    high-sugar refined meals are pressure. Whenever individuals are overworked or under severe emotional or mental pressure, they seek relief in meals. This invariably leads to a vitamin surplus and excess bodyweight. Massage is known to help relax the ideas and the whole personal whole body and bring

  10. Joint FLX
    groups. The thinning locks is unexpected and exhibits itself in little, smooth-skinned places that are likely to progressively expand progressively. It also impacts the sufferer’s claws, giving them a rough, ridged or inadequate overall look. The actual cause is still unidentified, although current concepts include of an

  11. Keto fit pro
    . health and health andis, “what happened to my waistline?” But, what you may not know is that studies suggest that our minds can sometimes be our biggest enemy when we are trying to get rid of fat. Our brains can actually hinder our systems from experiencing the burden decrease we desire. How? In today’s post I will discuss the

  12. cerisea medica gasping for breath. There are numerous techniques to manage fattiness. Dieting and training are the known measures but today health and fitness and health goods are becoming increasingly popular. Various organic and non-herbal weight-loss items have come in to market and so you have many choices throwing

  13. slim quick keto
    that have a high-content of frequent normal water and most may basically be recognized like some clean vegetables and fruits and clean vegetables but certain weight loss programs may limit meals with high-water content. In this case you will basically have to take more frequent normal water. Diuretics rmal water every ass of frequent normal water before

  14. It is very informative there is no doubt about it. I found this one pretty fascinating and it should go into my Collection. Very good work!
    office.com/setup | norton.com/setup | norton.com/setup

  15. Alleyaaircool is the one of the best home appliances repair canter in all over Delhi we deals in repairing window ac, Split ac , fridge , microwave, washing machine, water cooler, RO and more other home appliances in cheap rates

    Window AC Repair in vaishali
    Split AC Repair in indirapuram
    Fridge Repair in kaushambi
    Microwave Repair in patparganj
    Washing Machine Repair in vasundhara
    Water Cooler Repair in indirapuram
    RO Service AMC in vasundhara
    Any Cooling System in vaishali
    Window AC Repair in indirapuram

  16. TutuApp APK iOS Free Download Latest Version 2019 Best Version Free! here And Also more...
    TutuApp APK IOS
    TutuApp Download
    Snaptube iOS

  17. This is really good blog information thanks for sharing .I am really impressed with your writing abilities

    โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%
    เพียงแค่คุณสมัคร Gclub กับทางทีมงานของเราเพียงเท่านั้น
    สมัครสล็อตออนไลน์ >>> goldenslot
    สนใจร่วมลงทุนกับเรา สมัครเอเย่น Gclub คลิ๊กได้เลย

  18. Great post ! I am pretty much pleased with your good post.You put really very helpful information

    เว็บไซต์คาสิโนออนไลน์ที่ได้คุณภาพอับดับ 1 ของประเทศ
    เป็นเว็บไซต์การพนันออนไลน์ที่มีคนมา สมัคร Gclub Royal1688
    และยังมีหวยให้คุณได้เล่น สมัครหวยออนไลน์ ได้เลย
    สมัครสมาชิกที่นี่ >>> Gclub Royal1688

  19. Keto Melt And Trim 800:- The supplement is the effective and safe weight reducing formula, which promotes a healthy weight loss. Keto Melt And Trim 800 helps to maintain the most powerful state of ketosis in your body and utilizes fat as the vital energy. You can attain the powerful results within just 3 months. Thus, order the supplement now and start an unproblematic weight loss treatment. Click here for more information>>> http://sharktankreview.com/keto-melt-and-trim-800

  20. I really happy found this website eventually. Really informative and inoperative, Thanks for the post and effort! Please keep sharing more such blog.




    roadrunner email


    aol mail

  21. Hi all, here every person is sharing these kinds of knowledge, therefore it’s good to read this website, and I used to pay a visit this blog everyday.

  22. You should take part in a contest for one of the best blogs on the web. I will recommend this site!


  23. I was very pleased to find this web-site.I wanted to thanks for your time for this wonderful read!! I definitely enjoying every little bit of it and I have you bookmarked to check out new stuff you blog post.http://sharktankreview.com/nerotenze-testosterone-australia


  24. Lovely just what I was looking for. Thanks to the author for taking his time on this one.http://sharktankreview.com/nerotenze-testosterone-australia

  25. Student ensuring this that essay and prices are not correlated, tutuApp ,Bachelor Degree MovieBox , amazon fire stick , 123movies . were major eye opener for several students embarking on such project.


  26. Slim Ambition Keto:- Slim Ambition Keto dietary pills are considered as best pills for the weight loss because they actively exorcise the toxic & unhealthy materials from the body without affecting the physical and mental health of the person. You can actively perform all your physical duties by looking and feeling active & healthy and losing your fat at the same time.Read more:- http://www.pillspanda.com/slim-ambition-keto/

  27. The day passed quickly and I realized I couldn't forget
    geometry dash
    basketball legends

  28. Slim Ambition Keto Reviews:- In the end, all we will say about Slim Ambition Keto Diet is this is the item the truly works. Among all other weight reduction pills, this is the one that can consume fat for the vitality. It improved mental keenness and won't bring on any symptoms. All things considered, an ideal method to consume fat. Likewise, there is no pressure included when you are taking this pill. Know more>>> https://www.sharktankdietary.com/slim-ambition-keto/


  29. After completing all ordered buy nursing papers assignments, our best nursing paper writing service team is keen on uploading them to a platform where clients can access them with ease.

  30. Hii
    Thanks for sharing and commenting
    If you are looking for Norton antivirus support services for Norton technical issues and problem. you can also dial Norton antiviral support number and resolve all Norton support problem
    Please Visit here:- Norton Customer Support number

  31. This comment has been removed by the author.

  32. Hii
    Thanks for sharing and commenting.
    If you are looking for Bitdefender windows XP support for Bitdefender help and setup you can visit here and resolve this problem:
    Bitdefender windows XP support

  33. Alpha Femme Keto Genix is open accessible to be acquired on the official destinations. There are a foreordained number of breaking points going on these pills. Hustle a tad to get your pack as of now. These enhancements are included 100% basic fixings and don't contain the use of any kind of invention mixes. All of the fixings used in the improvement of Alpha Femme Keto Genix is isolated from characteristic farms as are seen to be free from a wide scope of responses. All of the fixings are used are clinically attempted and are used in an authentic degree. This enhancement is known to be 100% normal and don't contain the usage of any kind of substance or phony mixes. All of these pills is clinically attempted twice before setting it accessible to be acquired in the market. Alpha Femme Keto Genix weight decrease complex associate in devouring all of the fats those are accessible in your body by putting your body into the state of ketosis in all regard adequately.
    Read more >> https://www.sharktankdietary.com/alpha-femme-keto-genix/
    Facebook >> https://www.facebook.com/AlphaFemmeKetoGenix/

  34. Nice and Great Post
    So Thanks for sharing
    If you need Microsoft Help for Office installing/setup
    You can Get Here for instant Help
    Microsoft Customer Support Number

  35. Good your Blog
    So Thanks!!!
    if you face problem any time of Shaw Webmail. you can contact on Shaw webmail support number +(1) 844 489 7268 and Resolve it problem
    Or Visit Here- Email Help

  36. iExplorer 4.3.0 Crack with Registration Code Download No cost

    The consumer can use iExplorer 4 Registration Code for transferring all the files. Also to this, will help in sending music from iPad, PC, phone, Mac, iTunes and also from iPod productively. In addition comprises the best and basic drag and fall interface to obtain. As an example, it's also possible to make use of the simple button to preview, detect and copy the entire tunes. Supported by any version of Windows working system. And one of the outstanding aspects of the iexplorer 4 registration code is consisting of user-friendly interface. As such it helps to transfer the files within a a good deal more exact way. So permit us go and possess a seem in a very a great deal more thorough way.

  37. This is a really a nice stuff.i was looking it from a long time and finally got it. Are you looking for POS System for you business ? We are providing various POS according your business needs. We are also providing 15 days free trial, so that you can test suitable pos for your business. for more information visit our website https://www.salesvu.com

  38. Nice Post. I have been here reading for about an hour. I am a newbie and your success is very much an inspiration for me.For instant support related to the Router please contact Router Customer Care Number for the proper solution.

  39. Crack Software Free
    Get all of these by easily just on a single click.

  40. download pc game highly compressed
    Today every wants to play different kind of games on differerent platforms. The games are very famous in every ages. But the question is where to find absolutely the answer is just one, there is a single place where you can find all kind of games.

  41. To gain similarly knowledge approximately various weight reduction problems and their answers you'll need to read excessive first-rate e-books weight loss written by using professional authors at the given challenge. The dukan diet has reached a stage of reputation that myths and rumors are actually flooding the net. This, in itself, is infrequently a wonder. The world's news media recognize the dukan weight loss program is warm topic and articles about the eating regimen will attract readers.

  42. You Enable to recover your Gmail Password without recuperation email, yet you can utilize another choice to recuperate Gmail secret word by means of instant messages.
    If you have any query Call toll free +1-877-637-1326 Gmail Account Password Recovery Helpline Number for instatnt support.

  43. This is really a great stuff for sharing. Keep it up .Thanks for sharing.

    QuickBooks Error code 9999

    QuickBooks Error code 15227

  44. https://crackedget.com/
    Get all of these by easily just on a single click.

  45. dead island download for pc
    Dead Island Pc Download Free Full Game Dead Island Pc Download Free is a 2011 Survival, Horror survival game.

  46. Hello....Very good blog! It provides useful steps.Something else I would like to talk about is that cox email setting support phone number USA information.if you face problem any time of Cox email.You can contact any time cox email setting support phone number USA +1-888-857-5055..For More Information Please Visit Our Website:- cox email setting support phone number USA

  47. https://chsofts.com
    Get all of these by easily just on a single click.

  48. Sony Vegas Pro v13.0 Build 453 (x64) Pre Cracked Edition is Below !

    Vegas Pro 13 Keygen is definitely an built-in, forward-thinking producing surroundings designed for your many period of imaginative experts. Combining a well-recognized track-based timeline with hundreds of thoughtful workflow improvements, Vegas Pro 13 is frequently a refreshing, cutting-edge day approach to post-production. Supporting considerably more formats, far considerably more workflows, and a great deal more modern regulate than previously just in advance of, Vegas Pro 13 tends to allow it to be easy to supply your information and express your creative eyesight.

  49. Dissertations keep abilitys usually are identified furthermore discerning. Persons support clearly confirmed exactly how this is worn out put together taken out enrich to deliver people who are unable to almost any infer that could tattle. Amplify comic uploading keep for this fake. trig identity calcuator

  50. Today we want to play games online. Some of them want to play the game on their mobile devices or on tablets. Some of them want to play games on their pc or laptops. but one question which every one want to know. that
    Where to find all type of games just on one place and get them in a single click. Pc Games Here is the place where you can find all type of games like
    Gta 4 for Pc Highly Compressed

  51. This is Very very nice article. Everyone should read. Thanks for sharing. Don't miss WORLD'S BEST BIKE RACING GAMES

  52. Express VPN APK Crack shields your operating system from hacker and other entrusted users. Also, this program allows you to switch between servers easily. It provides you facility that one can use one VPN location for streaming videos at one place where another for privacy at work.

  53. VideoPad Video Editor Crack supports a large number of formats. If the user needs to check the size that he likes, we have written them in the above section, and hence, we enable the user to locate it where ever he wishes to like

  54. Ableton Live Crack is a great audio studio along-track sequencer and star performance. The program offers many tools like organizing, modifying, blending, and also editing tools. It is developed to maintaining live performance in your thoughts.