Use separation of variables to find the solution to the differential equation:

Question

4 (du/dt) = u^2,

subject to the initial condition u(0)=6.

So far, I have:

4 du = u^2 dt
4/u^2 du = dt
-4/u = t+C

I am unsure what to do from this point...

Answer 1

oh come on.
0+C = -4/6
C = -2/3

-4/u = t - 4/3
u = -4/(t - 4/3) = 12/(4-3t)