Question

Consider the differential equation f'(x)=3x^2 -3x+5? What is the general solution for the differential equation?

Answer 1

`6x-3/2x^2+5x+c_1`

Explanation:

Given: `f'(x)+3x^2-3x+5`.

By simple integration, we obtain `f(x)`, and so:

`f(x)=intf'(x) \ dx`

`=int3x^2-3x+5 \ dx`

`=6x-3/2x^2+5x+c_1`