where p and q are continuous functions on a given interval. In linear first order differential equations, we can derive a formula for the solution above.

How to solve a linear first order differential equation:

- Put the equation into form
- This step is very important. You cannot solve, unless the equation is in this form.
- Set and solve for
- is known as the integrating factor
- Integrate both sides
- Don’t forget the unknown constant, c, and when you can combine multiple unknown constants
- Multiply the equation in Step 1 by ) and simplify
- Use the product rule,
- Integrate and solve for
- Don’t forget the unknown constant and when you can combine multiple unknown

We will go through this first example step by step (click here for a more detailed step by step):

1. Put the equation in the form of a first order linear ODE

2. Solve for µ(x)

We integrate both sides to find µ(x).

3. Multiply by µ(x) and simplify

4. Make the left side equal to the product rule

5. Integrate and solve for y(x)

Here’s another example (click here):

Last example (click here):

Linear first order differential equations may look intimidating at first sight. These problems do take some time to solve, but are not very hard. The most important thing to remember is to not forget about the unknown constant, c.

Until next time,

Leah

If we are going to build any building or home so we must need a calculator to calculate the fats and figure of the material which is need to be construct the home or building. Density of the any material have importance in construction, by using our Density Calculator you can easily or accurately calculate the density of any material or goods.

ReplyDeleteapp Tutuapp

ReplyDeleteKodi

Lucky Patcher yea

This online calculator allows you to solve differential equations online. Enough in the box to type in your equation, denoting an apostrophe ' kroger feedback derivative of the function and press "Solve the equation".

ReplyDeletevery nice Example with Symbols

ReplyDeleteGreat Information for student ,Good Idea for Advanced level Math Solutions and useful to every people

ReplyDeletepixel gun 3d mod apk

ReplyDeletepokemon go mod apk

Badminton league mod apk

You should check here for some tips on how to write great essay and how to do it right. Good luck with that

ReplyDeleteMath has always been a struggle for me. Thanks for the tips. www.indigoapply.com

ReplyDeleteVery helpfull for students.

ReplyDeleteRead

its good.Read

ReplyDeleteNice and helpfull information.ipl live streaming

ReplyDeleteIf You Want TO Know About Buy IPL Jerseys Online

ReplyDeleteNice And Very Helpful Math Solutions .Useful ToEvery Student..

ReplyDeletevery nice maths article. very helpful to allpeople

ReplyDeleteif you know about getmyoffer capitalone

ReplyDeleteI am remarking permitting you to in spades primarily very understand what a legitimate power my convey acknowledged taking in your web site. She recognized assortment of elements, with the facilitate of what it's connected with associate degree unrealistic to own the capability to push vogue to primarily have the reclamation whereas not hassle seeing some substantial contemplations.

ReplyDeleteBreakup Images

Birthday Captions for Brother

Try It..Best Astrologer In India

ReplyDeletehi your info is very true and very helpful to every people

ReplyDelete