## Differential Equation: $(1-xy)^{-2} dx + \left[ y^2 + x^2 (1-xy)^{-2} \right] dy = 0$

Hello, can anyone solve this equation?
I can't figure it out,
$(1-xy)^{-2} dx + \left[ y^2 + x^2 (1-xy)^{-2} \right] dy = 0$
Thanks.

(x²+4) y' + 3 xy = x

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The given two-parameter family is a solution of the indicated differential equation on the

interval (−∞,∞). Determine whether a member of the family can be found that satisfies the

initial conditions.

y = c1e^x cos x + c2e^x sin x; y" − 2y' + 2y = 0,

i. y(0) = 1, y'(π) = 0

ii. y(0) = 1, y(π) = −1