(x*y^2)*dx-(x^2*y^2)*dy=0

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Solution for (x*y^2)*dx-(x^2*y^2)*dy=0 equation:


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

Multiply x * y2
(xy2) * dx + -1(x2 * y2) * dy = 0

Multiply xy2 * dx
dx2y2 + -1(x2 * y2) * dy = 0

Multiply x2 * y2
dx2y2 + -1(x2y2) * dy = 0

Multiply x2y2 * dy
dx2y2 + -1dx2y3 = 0

Solving
dx2y2 + -1dx2y3 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dx2y2'.
dx2y2(1 + -1y) = 0

Subproblem 1

Set the factor 'dx2y2' equal to zero and attempt to solve: Simplifying dx2y2 = 0 Solving dx2y2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2y2 = 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + 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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