number $7$ and $11$

$In$ Problems $1$ through $20,$ find a particular solution $y_{p}of$ the

given equation. $In$ all these problems, primes denote deriva$-$

tives with respect $tox.$

$y^{\text{'}\text{'}}+16y=e^{3x}$

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

$y^{\text{'}\text{'}}-y^{\text{'}}-6y=2sin3x$

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

$y^{\text{'}\text{'}}+y^{\text{'}}+y=si{n}^{2}x$

$2y^{\text{'}\text{'}}+4y^{\text{'}}+7y=x^2$

$y^{\text{'}\text{'}}-4y=sinhx$

$y^{\text{'}\text{'}}-4y=cosh2x$

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

$y^{\text{'}\text{'}}+9y=2cos3x+3sin3x$

$y^{(3)}+4y^{\text{'}}=3x-1$

$y^{(3)}+y^{\text{'}}=2-sinx$

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

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