Differential Equations

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

$x+y=\tan x+\mathrm{c}$, where c is the constant of integration

$x+y=\cot ^{-1} x+\mathrm{c}$, where c is the constant of integration

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