Question

Solve dy/dx=(2cos^2(x)-sin^2(x)+y^2)/2cos(x) given that y=sin(x)+1/v(x)

Solve via general substitution

Answer 1

is this the problem?
\[\frac{dy}{dx}=\frac{2\cos^2x-\sin^2x+y^2}{2cosx} \]
and \[y=\frac{sinx+1}{v(x)}\]

Answer 2

yes that is the problem