Linear High order with constant coefficients non$-$Homogeneous

$(D^2-1)y=sinhx$

$\frac{d^{5}y}{d{x}^5}-4\frac{d^{3}y}{d{x}^3}=5e^{2x}$

$\frac{d^{3}y}{d{x}^3}+2\frac{d^{2}y}{d{x}^2}-2\frac{dy}{dx}=e^x+x^2$

$y^{\text{'}\text{'}\text{'}}+3y^{\text{'}\text{'}}-4y=2e^x$

$y^{\text{'}\text{'}\text{'}}-5y^{\text{'}\text{'}}+8y^{\text{'}}-4y=e^{2x}+e^{2x}$