Pregunta: Solve the initial value problem y′′−y′+2y=3e−x−10cos3xy(0)=1,y′(0)=2

Solution: The Given initial value problem is,

$\mathrm{y}{}^{″}-{\mathrm{y}}^{\prime }+2\mathrm{y}=3{\mathrm{e}}^{-\mathrm{x}}-10\cos \left(3\mathrm{x}\right)$ (1)

y(0)=1,y'(0)=2