y^2dx+(xy+x^2)=0

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Solution for y^2dx+(xy+x^2)=0 equation:


Simplifying
y2dx + (xy + x2) = 0

Remove parenthesis around (xy + x2)
dxy2 + xy + x2 = 0

Solving
dxy2 + xy + x2 = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1xy' to each side of the equation.
dxy2 + xy + -1xy + x2 = 0 + -1xy

Combine like terms: xy + -1xy = 0
dxy2 + 0 + x2 = 0 + -1xy
dxy2 + x2 = 0 + -1xy
Remove the zero:
dxy2 + x2 = -1xy

Add '-1x2' to each side of the equation.
dxy2 + x2 + -1x2 = -1xy + -1x2

Combine like terms: x2 + -1x2 = 0
dxy2 + 0 = -1xy + -1x2
dxy2 = -1xy + -1x2

Divide each side by 'xy2'.
d = -1y-1 + -1xy-2

Simplifying
d = -1y-1 + -1xy-2

Reorder the terms:
d = -1xy-2 + -1y-1

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