2020 THREE(e)

A curve has the equation $y=(3x+2)e^{-2x}$.

Prove that $\frac{{\mathrm{d}}^{2}y}{\mathrm{d}{x}^2}+4\frac{\mathrm{d}y}{\mathrm{d}x}+4y=0$.

*You must use calculus and show any derivatives that you need to find when solving this
problem.*