Solving a separable equation Solve the following separable equations subject to the given boundary conditions
a) $\frac{dy}{dx}$ = $x\sqrt{1−y^2}$, $y=0$ at $x=0$, 
b)$(ω^2+x^2)\frac{dy}{dx} = y$, $y=2$ at $x=0$ ($ω>0$ is a parameter).
Edit:
Sorry I wasn't clear, I am fine with everything up to and including integration, it's just the boundary conditions that I cannot seem to grasp.

a) $$ \int \frac{dy}{\sqrt{1-y^{2}}}=\int x dx$$
b) $$\int\frac{dy}{y} =\int \frac{dx}{\omega^{2}+x^{2}}$$
If you're studying separation of variables, I think you'd be able to evaluate these integrals.
