x^2+2y^2*dx-xy*dy=0

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Solution for x^2+2y^2*dx-xy*dy=0 equation:


Simplifying
x2 + 2y2 * dx + -1xy * dy = 0

Multiply y2 * dx
x2 + 2dxy2 + -1xy * dy = 0

Multiply xy * dy
x2 + 2dxy2 + -1dxy2 = 0

Reorder the terms:
2dxy2 + -1dxy2 + x2 = 0

Combine like terms: 2dxy2 + -1dxy2 = 1dxy2
1dxy2 + x2 = 0

Solving
1dxy2 + x2 = 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 = 0 + -1x2

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

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

Simplifying
d = -1xy-2

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