Asked by Abby
Use separation of variables to find the solution to the differential equation:
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...
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...
Answers
Answered by
Steve
oh come on.
0+C = -4/6
C = -2/3
-4/u = t - 4/3
u = -4/(t - 4/3) = 12/(4-3t)
0+C = -4/6
C = -2/3
-4/u = t - 4/3
u = -4/(t - 4/3) = 12/(4-3t)
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