For exercises $1$ and $2,$ find the general solutions of the given differential equation. You may $($definitely will...$)$ need to use integration texhniques you havent scen since Calculus II to evaluate integrals in these. Please use this as time to refresh yourself on integration by parts!

$y^{\text{'}}+3y=t+e^{-2t}$

$y^r+\frac{1}{t}y=3cos(2t)$

Solve the following IVP:

$t{y}^{\text{'}}+(t+1)y=t,y(ln(2))=1,t>0$