I have a audiovisual digital lecture on YouTube that shows the use of Euler’s method to solve a first order ordinary differential equation (ODE). To show the accuracy of Euler’s method, I compare the approximate answer to the exact answer. A YouTube viewer asked me: How did I get the exact answer?

In this blog, I use the integrating factor method to find the exact answer, because that is the method the viewer was using to solve the ODE exactly. So here it is and in two future blogs, I will show the same example being solved by 1) Laplace transforms and 2) the classical (complementary + particular) solution techniques.

The pdf file of the solution is also available.

This post is brought to you by

- Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://numericalmethods.eng.usf.edu,
- the textbook on Numerical Methods with Applications available from the lulu storefront,
- the textbook on Introduction to Programming Concepts Using MATLAB, and
- the YouTube video lectures available at http://numericalmethods.eng.usf.edu/videos

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Abdurrehman

said:hi my name is Abdurrehman and in this course each topic must contain 4 to 5 example with solve one or two is not the soltion.So that people may understand each techniques

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KUDZE MENSAH KWAKU

said:I like your tutorials. Please help me get a textbook of ordinary/ differential equation

Hussein Owayo

said:which is the best book concerning this problems

Autar Kaw

said:Any introductory ode book would do.

Hussein

said:I want to solve any mathematics calculation using c3 mobile phone

ingabire peace

said:give us more complicated example because that one was very easy.

abdul qayyum

said:give us more compilcated example it was so easy