$1-2$x$($ye$^($x$^2)-1)$dx$+$e$^($x$^2)$ dy$=0$

$2-[$xcos$($x$+$y$)+$sin$($x$+$y$)]$dx$+$xcos$($x$+$y$)$dy$=0$

$3-$ ydx$+($y$^3-2$x$)$dy$=0$

$4-($siny$+$x$^2+2$x$)$dx$+$cosy dy$=0$

$5-$ xdy$+($y$-$xy$^3)$dx$=0$

$6-$ xln x$.$y$^\text{'}+$y$=2$ lnx

$7-$ tanx$.$y$^\text{'}=$y$-$sin$^2$ x

$8-$ k n$$n farkl iki de$$eri i$$in y$=$k$/$x fonksiyonu x$^2($y$^\text{'}+$y$^2)=2$ nin bir $$z$$m$$d$$r$.$ Bu k de$$erini bularak denklemin genel $$z$$m$$n$$ bulunuz.

$9-$ y$^\text{'}-$y$($y$-$x$)=1$

$10-$ y$^\text{'}+$y$=$xy$^(1/3)$ ;y$(0)=1$ ba$$lang$$ de$$er problemini $$z$$n$$z$.$

$11-$ y$^\text{'}+2/$x y$=$y$^3/$x$^3$

$12-$ y$^\text{'}=2$xy$/($y$^2-$x$^2)$

$13-$ x$^2$ ydx$-$x$^3$ dy$=$y$^3$ dy

$14-3$x$^2.$ye$^$y dx$+$x$^3$ e$^$y $($y$+1)$dy$=0$

$15-(2$x$-4$y$+1)$dx$+(-$x$+2$y$-1)$dy$=0$

$16-$ y$^\text{'}\text{'}+$y$=$secx$.$tanx

$17-$ y$^\text{'}\text{'}-2$y$^\text{'}+$y$=6$ sinx

$18-$ y$^\text{'}\text{'}+$y$=1/$sinx

$19-$ xy$^\text{'}\text{'}-($x$+1)$ y$^\text{'}+$y$=$x$^2$

$20-$ x$^2$ y$^\text{'}\text{'}+2$xy$^\text{'}-2$y$=0,$ y$\_1($x$)=$x $$eklinde $$z$$m$$ bilinen bir denklemin di$$er $$z$$m$$n$$ mertebe d$$rme metodunu kullanarak elde ediniz.