$()$

$(1)y^{\text{'}\text{'}}+y=2sinx+cosx$

$(6)y^{\text{'}\text{'}}+y=e^{2x}$

$(2)y^{\text{'}\text{'}}+3y^{\text{'}}+2y=2e^{2x}+3x+1$

$(7)y^{\text{'}\text{'}}+7y=42x^2+5x+1$

$(3)y^{\text{'}\text{'}}+3y^{\text{'}}+2y=e^{-x}+x^2-1$

$(4)y^{\text{'}\text{'}}-y=e^x+x^2+sin2x$

$(5)y^{\text{'}\text{'}}-y^{\text{'}}-6y=e^{-x}-7cosx$

Second order linear $($ODE$)$ with constant non$-$Homogeneous