Hi there, I have a question on differential equations I dont understand, here it is:

find the general solution:

t (dx/dt) = x + (sin(x/t))^2

I think you have to use substitution for this one but dont know how, any ideas?

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- April 28th 2008, 12:08 PMeggy524[SOLVED] Differential Equations
Hi there, I have a question on differential equations I dont understand, here it is:

find the general solution:

t (dx/dt) = x + (sin(x/t))^2

I think you have to use substitution for this one but dont know how, any ideas? - April 28th 2008, 01:42 PMTwistedOne151
Define . Then . Now, our original equation tells us , and so:

Which you should be able to solve for u(t). Then just use x=ut to find x.

--Kevin C.