Problem $1(5$ points each$)$

Find the general solution to the following ODEs

$x^{\text{'}\text{'}}+4x=sin(t)$

$y^{\text{'}\text{'}}+2y^{\text{'}}+5y=3cos(2t)$

$9u^{\text{'}\text{'}}+6u^{\text{'}}+u=2e^{-2t}$

$y^{\text{'}\text{'}}+y=3sin(2t)+tcos(2t)$