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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0 thoughts on “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. Pingback: Classical Solution Technique to Solve a First Order ODE | The Numerical Methods Guy

  3. 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

  4. 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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