Differential Equations and Their Applications

Solve the following differential equation:

dy/dt = 1 + t2 + y2 + t2y2

Factor, Rearrange, and Integrate

dy/dt = (1 + t2)(1 + y2)

dy (1 + y2) = (1 + t2) dt

tan-1(y) = t + t3/3 + C

Study Sheet - Differential Equations and Their Applications