EXERCISES $4\mathrm{.}4$

In Problems $10$ solve the given und$$termined coefficients.

$y^{\text{'}\text{'}}+3y^{\text{'}}+2y=6$

$4y^n+9y=15$

$y^{\text{'}\text{'}}-10y^{\text{'}}+25y=30x+3$

$y^{\text{'}\text{'}}+y^{\text{'}}-6y=2x$

$\frac{1}{4}{y}^{\text{'}\text{'}}+y^{\text{'}}+y=x^2-2x$

$y^{\text{'}\text{'}}-8y^{\text{'}}+20y=100x^2-26x{e}^x$

$y^{\text{'}\text{'}}+3y=-48x^2{e}^{3x}$

$4y^{\text{'}\text{'}}-4y^{\text{'}}-3y=cos2x$

$y^{\text{'}\text{'}}-y^{\text{'}}=-3$

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

$y^{\text{'}\text{'}}-y^{\text{'}}+\frac{1}{4}y=3+e^{\frac{x}{2}}$

$y^{\text{'}\text{'}}-16y=2e^{4x}$

$y^{\text{'}\text{'}}+4y=3sin2x$

$y^{\text{'}\text{'}}-4y=(x^2-3)sin2x$

$y^{\text{'}\text{'}}+y=2xsinx$