Chapter 1.2, Problem 22E

To determine

(a)

To verify:

The function $ɸ\left(x\right)=c_1{e}^x+c_2{e}^x$ is a solution to the linear equation $\frac{d^{2}y}{d{x}^2}+\frac{dy}{dx}-2y=0$ for any choice of the constants $c_1$ and $c_2$

To determine

(b)

The value of $c_1$ and $c_2$ for the given initial condition.