MATLAB ASSIGNMENT $-$ PLEASE PUT YOUR CODE IN MATLAB. PLEASE SHOW THE MATLAB CODE AND MATLAB OUTPUT.

Use dsolve to solve $\frac{dy}{dt}=\frac{2y^2+t^2{e}^{-(\frac{y}{t}{)}^2}}{2ty}$

Use dsolve to solve $\frac{dy}{dt}=\frac{ty+2y-t-2}{ty-3y+t-3}$

Find an infinite series solution of the initial

value problem

$\frac{d^{2}y}{d{t}^2}+e^{-t}\frac{dy}{dt}+y=sin(t),y(0)=5,y^{\text{'}}(0)=2$

in the powers of $t$ up to $t^9$