Determine If the Given Function Y = F(x) Is a Solution

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
- $$\begin{array} { l } y ^ { \prime } + y = e ^ { 2 x } \\y = 7 e ^ { - x } + \frac { 1 } { 3 } e ^ { 2 x }\end{array}$$