Question $2(20$ points$)$

Determine if the differential equation is first order linear or not.

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

$x^{3}yy\text{'}+x{y}^2=16x$

$x^{3}y\text{'}+x^4{y}^2=0$

First Order Linear

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

$x^3{y}^{\text{'}}+x^{4}sinx=0$

NOT First Order Linear