Pregunta: Solve the IVP secx(dy/dx)=4+y^2, y(pi)=0

Given Equation $\sec \mathrm{x}\left(\frac{\mathrm{d}\mathrm{y}}{\mathrm{d}\mathrm{x}}\right)=4+{\mathrm{y}}^2$ and $\mathrm{y}\left(\pi \right)=0$

This Equation can be rewritten as $\frac{\mathrm{d}\mathrm{y}}{4+{\mathrm{y}}^2}=\cos \mathrm{x}\left(\mathrm{d}\mathrm{x}\right)$ "

Now, Integrating both sides,