(Solved): 2. A nonlinear ordinary differential equation of the form y+p(x)y=f(x)yr where r= is called a ...

2. A nonlinear ordinary differential equation of the form $y^{?}+p(x)y=f(x)y^r$ where $r?=$ is called a equation. 3. A first order differential equation is called if it can be written as $y^{?}+p(x)y=f(x)$ and if $f(x)=0$, the differential equation is called But, if $f(x)?=0$, the differential equation is called 4. Determine the order and linearity of the following differential equations. a. $y^{(4)}?y^{?}=x^2$ order $=$ linear or nonlinear? b. $y=y^{??}$ order $=$ linear or nonlinear? c. $t\frac{dy}{dt}+7y=e^y$ order $=$ linear or nonlinear?