Chapter 8.1, Problem 11ES

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

$\begin{array}{l}y\prime \prime -4y\prime +4y=0\\ \left(\text{a}\right)e^{2x}\text{and}x{e}^{2x}\\ \left(\text{b}\right)c_1{e}^{2x}\text{+}{c}_{2}x{e}^{2x}\text{ (}{c}_1,c_2\text{constants)}\end{array}$