$(\sec x+\tan x) y=x+\cos x+c$

$(1+\cos x) y=(x+c) \cos x-\cos ^2 x$

$(1+\sin x) y=(x+c) \cos x-\cos ^2 x$

$(\sec x+\tan x) y=x-\sin x+c$

$y=4-c e^{-\frac{(x+2)^2}{2}}$

$y=8+c e^{-\frac{x^2}{2}-2 x}$

$y=c e^{-(x+2)^2}+x$

$y+2 x=c e^{-\frac{x}{2}-2 x}$

$y=x^3+c y$

$x=y^3+c y$

$y(1-x y)=c x$

$x(1-x y)=c y$

$3(y-1)^2-2(x+2)(y-1)-(x+2)^2=C$

$x^2-3 y^2-4 x y-2 x-10 y=C$

$3(y+1)^2+2(x-2)(y+1)-(x-2)^2=C$

$x^2+3 y^2+4 x y+2 x+10 y=C$