$y(1+x)=x+\mathrm{ce}^x$, where c is the constant of integration

$\quad y(1+x)=\mathrm{ce}^x$, where c is the constant of integration

$y(1-x)=x-\mathrm{ce}^x$, where c is the constant of integration

$y(1+x)=x$, where c is the constant of integration

$x \frac{\mathrm{~d} y}{\mathrm{~d} x}-2 y=0$

$\frac{\mathrm{d} y}{\mathrm{~d} x}+x y=0$

$\quad x \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=0$

$x^2 \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=0$

5950

8000

7950

6950

$\cos x=\mathrm{c} \operatorname{cosec} y$, where c is the constant of integration.

$\sin x=\mathrm{c} \sec y$, where c is the constant of integration.

$\sin x=x \cos y$, where c is the constant of integration.

$\cos x=\mathrm{c} \sin y$, where c is the constant of integration.