Example: Solving First Order Linear ODE by Integrating Factor


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.
Solving First Order Linear ODE by Integrating Factor
Solving First Order Linear ODE by Integrating Factor

The pdf file of the solution is also available.

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9 responses to “Example: Solving First Order Linear ODE by Integrating Factor

  1. Pingback: Classical Solution Technique to Solve a First Order ODE | The Numerical Methods Guy

  2. 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

  3. Data Transformation
    I likewise believe thus, perfectly pent post Data Transformation

  4. Awesome post . Thank you for, posting on this blog mate! I shall message you soon! I did not realise that.

  5. KUDZE MENSAH KWAKU

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

  6. which is the best book concerning this problems

  7. I want to solve any mathematics calculation using c3 mobile phone

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

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