(x^2+y^2)-(xy)dy=0

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


Simplifying
(x2 + y2) + -1(xy) * dy = 0

Remove parenthesis around (x2 + y2)
x2 + y2 + -1(xy) * dy = 0

Multiply xy * dy
x2 + y2 + -1dxy2 = 0

Reorder the terms:
-1dxy2 + x2 + y2 = 0

Solving
-1dxy2 + x2 + y2 = 0

Solving for variable 'd'.

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

Add '-1x2' to each side of the equation.
-1dxy2 + x2 + -1x2 + y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1dxy2 + 0 + y2 = 0 + -1x2
-1dxy2 + y2 = 0 + -1x2
Remove the zero:
-1dxy2 + y2 = -1x2

Add '-1y2' to each side of the equation.
-1dxy2 + y2 + -1y2 = -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1dxy2 + 0 = -1x2 + -1y2
-1dxy2 = -1x2 + -1y2

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

Simplifying
d = xy-2 + x-1

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

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