(x^2y+y^3dx)-(2x^3dy)=0

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Solution for (x^2y+y^3dx)-(2x^3dy)=0 equation:


Simplifying
(x2y + y3dx) + -1(2x3dy) = 0

Reorder the terms:
(dxy3 + x2y) + -1(2x3dy) = 0

Remove parenthesis around (dxy3 + x2y)
dxy3 + x2y + -1(2x3dy) = 0

Remove parenthesis around (2dx3y)
dxy3 + x2y + -1 * 2dx3y = 0

Multiply -1 * 2
dxy3 + x2y + -2dx3y = 0

Reorder the terms:
dxy3 + -2dx3y + x2y = 0

Solving
dxy3 + -2dx3y + x2y = 0

Solving for variable 'd'.

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

Add '-1x2y' to each side of the equation.
dxy3 + -2dx3y + x2y + -1x2y = 0 + -1x2y

Combine like terms: x2y + -1x2y = 0
dxy3 + -2dx3y + 0 = 0 + -1x2y
dxy3 + -2dx3y = 0 + -1x2y
Remove the zero:
dxy3 + -2dx3y = -1x2y

Combine like terms: -1x2y + x2y = 0
dxy3 + -2dx3y + x2y = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(dy2 + -2dx2 + x) = 0

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + -1xy = 0 + -1xy Remove the zero: 0 = -1xy Simplifying 0 = -1xy 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 '(dy2 + -2dx2 + x)' equal to zero and attempt to solve: Simplifying dy2 + -2dx2 + x = 0 Reorder the terms: -2dx2 + dy2 + x = 0 Solving -2dx2 + dy2 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. -2dx2 + dy2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2dx2 + dy2 + 0 = 0 + -1x -2dx2 + dy2 = 0 + -1x Remove the zero: -2dx2 + dy2 = -1x 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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