Remark $0\mathrm{.}1.$ You should be using your python code from HW $1$ to visualise the ODEs below!

Solve the following IVPs:

$($a$)y^{\text{'}}-y=2t{e}^{2t},$ with $y(0)=I_1.$

$($b$)y^{\text{'}}+\frac{2}{t}y=\frac{cos(t)}{t^2},$ with $y()=0$ and $t>0.$

$($c$)t{y}^{\text{'}}+(t+1)y=t,$ with $y(ln2)=1$ and $t>0.$