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 Laplace transform technique to find the exact answer to the ODE. In a previous blog, I showed how to find the exact answer to the ODE by the classicial solution technique.
The pdf file of the solution is also available.