I have a first order PDE: x u x </msub> + ( x + y )

Solve differential equation $(x+2)y\prime +4y=(3x+6{)}^{-}2\ln x$

Solve differential equation$y^{\prime }+2y=y^2$

${\displaystyle \dot{x}=rx-h{x}^2+q}$, where ${\displaystyle \dot{x}=\frac{dx}{dt}}$. I'm assuming ${\displaystyle r,h,q}$ have different units.
I first tried ${\displaystyle \tau =\frac{t}{t_0}}$ and ${\displaystyle A=\frac{x}{x_0}}$. Then I got ${\displaystyle \frac{dA{x}_0}{d\tau t_0}=rA{x}_0-h{A}^2{x}_0^2+q}$. But I am not really sure where to go from there.
Need any help.

Solve the Differential equations
$\frac{(d^{2}y)}{d{t}^2}+4\frac{dy}{dt}+3y=e^{-t}$

Find the general solution of the differential equation
${\displaystyle y^{\prime }=\frac{x-y+3}{x-y}}$

$\frac{dv(t)}{dt}+a{v}^2(t)+bP(t)=c$
This is a first order non-linear differential equation. Unfortunately, I have no experience solving non-linear differential equations. From the research I have done, this type of equation looks similar to the Ricatti equation. Is there a closed form solution to the above equation? How can I solve this equation? I'm interested in getting a function that shows how the pressure or velocity of the system decays with time.
FYI: v(t) is velocity, P(t) is pressure, (a,b,c) are constants. Thanks!

Find all functions f(x) defined on $(-\frac{\pi }{2},\frac{\pi }{2})$ which has a primitive F(x) such that
$f(x)+\cos (x)F(x)=\frac{\sin (2x)}{(1+\sin (x){)}^2}.$
Hence F satisfies a first order linear differential equation in F with integrating factor $e^{\sin (x)}$
So i have to integrate
$\frac{2e^{\sin (x)}\sin (x)\cos (x)}{(1+\sin (x){)}^2}.$
By putting $t=\sin (x)$, it reduces to $\frac{t{e}^t}{(1+t^2)}$ but now I am not getting it.