2x-2/x^2y=0

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Solution for 2x-2/x^2y=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x-((2/(x^2))*y) = 0

2*x-2*x^-2*y = 0

2*x-2*x^-2*y = 0

2*x*(1-(x^-3*y)) = 0

x^-3*(-y) = -1 // : -y

x^-3 = 1/y

-3 < 0

1/(x^3) = 1/y // * x^3

1 = x^3*(1/y) // : 1/y

y = x^3

x^3 = y // ^ 1/3

x = y^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = y^(1/3)

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