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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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.
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