I know how to handle seperable first order ODEs, nth roots, and initial value problems. But I'm a touch confused about what to do when they all appear in the same problem.

For this:

where:

We can get the general solution of

But I'm a bit confused at to whether I should be getting the four roots of with first, or if I should be trying to solve for using the initial value given first, etc...

How is this best handled?