PROBLEM 41E

Often a radical change in the form of the solution of a differential equation corresponds to a very small change in either the initial condition or the equation itself. In Problems 35–38 find an explicit solution of the given initial-value problem. Use a graphing utility to plot the graph of each solution. Compare each solution curve in a neighborhood of (0, 1).

Solution :

Step 1 :

In this problem we have to find an explicit solution of the given initial-value problem.

Given IVP is