Determine the general solution of the differential equation 2d2ydx2−5dydx−3y= 2e3x\begin{align*} 2\frac{\mathrm{d}^2 y}{\mathrm{d}x^2} - 5\frac{\mathrm{d}y}{\mathrm{d}x} - 3y =\,& 2\mathrm{e}^{3x}\\[2mm] \end{align*}2dx2d2y−5dxdy−3y=2e3x (6)
