Example 1.  Solve the I.V.P.  .  

Solution 1.

Compute the Euler and modified Euler solutions based on 25 subintervals and plot the results.

First, find Euler's solution.

Second, find the modified Euler solution.

Just for fun, plot both the Euler solution and the modified Euler solution. Notice that there is a difference.

(c) John H. Mathews 2004