Find the general solution of

y2y3y=4e3x+ex(cos(x)2sin(x))\displaystyle {y}{''}-{2}{y}'-{3}{y}={4}{e}^{{{3}{x}}}+{e}^{{x}}{\left({\cos{{\left({x}\right)}}}-{2}{\sin{{\left({x}\right)}}}\right)}

Use c2\displaystyle {c}_{{2}} and c3\displaystyle {c}_{{3}} for the arbitrary constants
y(x)=\displaystyle {y}{\left({x}\right)}=