x^2dy=y^2dx

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Solution for x^2dy=y^2dx equation:


Simplifying
x2dy = y2dx

Solving
dx2y = dxy2

Solving for variable 'd'.

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

Add '-1dxy2' to each side of the equation.
-1dxy2 + dx2y = dxy2 + -1dxy2

Combine like terms: dxy2 + -1dxy2 = 0
-1dxy2 + dx2y = 0

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(-1y + x) = 0

Subproblem 1

Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1y + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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