Chapter 1.6, Problem 39P

For Problems 34-39, use a differential equation solver to determine the solution to each of the initial-value problems and sketch the corresponding solution curve.

The initial-value problem in Problem 21.

21. $y^{\prime }-2y=f\left(x\right),y\left(0\right)=1$, where

$f\left(x\right)=\{\begin{array}{l}1-x,\text{if}x<\text{1,}\\ \text{0,}\text{if}x\ge 1.\end{array}$