Find the general solution to the differential equation $(1+\sin y){{\cos }^{2}}x\frac{\mathrm{d}y}{\

Question

Find the general solution to the differential equation $(1+\sin y){{\cos }^{2}}x\frac{\mathrm{d}y}{\mathrm{d}x}=1$.

Accepted Answer

$y - cos y = tan x + c$

Worked Example 1