classify the equation: (x)dy/dx + xy = 1-y linear, nonlinear, separable,exact, homogeneous, or one that requires an integration factor?

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You need to solve the exact differential equation, hence you should  divide by x both sides to preserve the equation such that:

`dy/dx + y = (1-y)/x`

You need to keep `dy/dx`  to the left side, hence you need to subtract y both sides:

`(dy)/dx = (1-y)/x - y =gt dy/dx = (1-y - xy)/x`

You need to multiply by dx both sides such...

(The entire section contains 203 words.)

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