Finding General Solutions: Separation of Variables Practice Test

A quantity $y(t)$ satisfies $\frac{dy}{dt}=\frac{1+y^2}{1+t^2}$. What is the general solution for $y(t)$?

A bacteria culture $B(t)$ satisfies $\frac{dB}{dt}=\frac{B}{1+t^2}$. What is the general solution for $B(t)$?