Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.)

Question

dy/dt=63t⁸

^{y= ?}

Answer 1

Why don't you just integrate both sides of the equation using the Power Rule?

For example, if dy/dt = 3t² then y = t³ + C.

You can easily check by differentiation that dy/dt = 3t².