Use method of undetermined coefficients to solve the following non-homogeneous differentialequations. y^{\prime \prime}+4 y^{\prime}+3 y=65 \cos (2 x) x^{2} y^{\prime \prime}-4 x y^{\prime}+6 y=x+1 \frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+3

y=10 e^{-2 x} \frac{d^{2} y}{d x^{2}}-2 \frac{d y}{d x}+y=x+e^{x}