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Lv 6
First order differential equation?
Any idea how to solve dy/dx + 3y = x(y^3)
It doesn't seem to be solvable by direct integration, separation of variables, homogenous or integrating factor.
1 Answer
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- Rich JLv 61 decade agoFavourite answer
pose u = 1/y^2
after manipulations, this will lead you to the differential equation: u' - 6u = -2x
which is easier to solve (hint: multiply by e^(-6x))
you have enough to go on by yourself.
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