Question

How do you find the general solution of the differential equation `dy/dt=3t^2`?

Answer 1

The general solutionis `y=t^3+C`

Explanation:

If `dy/dt=3t^2`

then `dy=3t^2dt`
Integrating both sides
`intdy=3intt^2dt`
So `y=3*t^3/3+C`

`y=t^3+C`