Find the general solution$\mathrm{.}1.($y $-$x $+$ xycot x$)$ dx $+$ xy $=02.$ Ix $-$ my $=$Gemx; where c$,$ and mare constants$3.$ dx $-(1+2$xtany$)$dy $=0$Find the particular solution as indicated:$4.(2$x$+3)$y$\text{'}=$ y $+(2$x$+3)$ when x $=-1,$y$=05.$ Find the solution of y$\text{'}=2(2$x$-$y$)$

Find the general solution.

$(y-x+$xycotx$)dx+xdy=0$

$\frac{dy}{dx}-my=c_1{e}^{mx}$; where $c_1$ and $m$ are constants

$dx-(1+2xtany)dy=0$

Find the particular solution as indicated:

$4.(2x+3)y^{\text{'}}=y+(2x+3{)}^{\frac{1}{2}}$ when $x=-1,y=0$

$5.$ Find the solution of $y^{\text{'}}=2(2x-y)$ which passes through the point $(0,-1).$which passes through the point $(0,-1).$