In many of the following problems, it will be essential to have a calculator or comp...

In many of the following problems, it will be essential to have a calculator or computer available. You may use a software package† or write a program for solving initial value problems using the improved Euler’s method algorithms on pages 127 and 128. (Remember, all trigonometric calculations are done in radians.)

By experimenting with the improved Euler’s method subroutine, find the maximum value over the interval [0,2] of the solution to the initial value problem

Where does this maximum value occur? Give answers to two decimal places.