Integrating factor for the solution of differential equation (x-y3)dy + y dx = 0 is

Question

Integrating factor for the solution of differential equation (x-y3)dy + y dx = 0 is
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Solution 1

The given differential equation is (x-y^3)dy + y dx = 0.

First, we rewrite the equation in the standard form of a first order linear differential equation, which is dy/dx + P(x)y = Q(x).

So, we can rewrite the equation as dy/dx + y/x = y^3.

Here, P(x) = 1/x and Q(x) = y^3.

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