Differential equations?

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du/dt=u^3(t^3-t) find Antideritive, U=?

Find the general solution to the above differential equation.

2006-11-13 11:44:56 · 2 answers · asked by Good life 2 in Science & Mathematics ➔ Mathematics

This is an equation with separated variables. Rewrite as

du/u^3 = (t^3-t)dt

and integrate (find antideritive) of each side separately.

2006-11-13 11:56:06 · answer #1 · answered by Anonymous · 0⤊ 0⤋

du/(u^3) = (t^3 - t)dt
Integral[du/(u^3)] = Integral[(t^3 - t)]dt + constant
Now solve the integrals and solve for u

2006-11-13 19:55:55 · answer #2 · answered by kellenraid 6 · 0⤊ 0⤋