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

Chapter 2, Problem 21

(choose chapter or problem)

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

\(\begin{array}{l}\frac{d y}{d x}+y=f(x), \quad y(0)=5 \text {, where }\\f(x)=\left\{\begin{array}{ll}e^{-x}, & 0 \leq x<1 \\0, & x \geq 1\end{array}\right.\end{array}\)

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