In 21 and 22, solve the given initial-value problem

Chapter 2, Problem 22

(choose chapter or problem)

In Problems 21 and 22, solve the given initial-value problem

\(\begin{array}{c}\frac{d y}{d x}+P(x) y=e^{x}, \quad y(0)=-1, \text { where } \\P(x)=\left\{\begin{array}{ll}1, & 0 \leq x<1 \\-1, & x \geq 1\end{array}\right.\end{array}\)

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