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April 2, 2015

April 2, 2015

Posted by **Zane** on Wednesday, October 26, 2011 at 9:22am.

u(t): du/dt = u /t+2t

pls show all working

- differential equations -
**drwls**, Wednesday, October 26, 2011 at 10:18amI assume you mean

du/dt = (u/t) + 2t and not

u/(t + 2t) = u/(3t)

Your D.E. is of the form

du/dt + Pu = Q

where P = -1/t and Q = 2t

The method of "integrating factors" can be used. Your textbook should have an explanation of the method.

There is a function rho(t) given by

rho(t) = exp(integral of P(t)dt)

such that the solution is

rho(t)*u

= integral of (rho*Q) + C

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