Math Help - Initial Value Problem and general theory explanation

1. Initial Value Problem and general theory explanation

Hey guys,

I'm not really sure what it means by general theory. Is it because cos(pi/2) = 1, then a solution to dy/dx exists because dy/dx =1/(2*(pi/2)*(1+2))?
I wouldn't mind some help with solving the ODE either.

I agree that it's because the DE doesn't have any problematic points around \displaystyle \begin{align*} \left( \frac{\pi}{2}, 1 \right) \end{align*} that the DE should have solution there.