Chapter 8.1, Problem 10ES

In each part, verify that the functions are solutions of the differential equation by substituting the functions into the equation.

$\begin{array}{l}y\prime \prime -y\prime -6y=0\\ \left(\text{a}\right)e^{-2x}\text{and}{e}^{3x}\\ \left(\text{b}\right)c_1{e}^{-2x}+c_2{e}^{3x}(c_1,c_2\text{constants)}\end{array}$