6y^2dx-x(2x^3y)dy=0

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Solution for 6y^2dx-x(2x^3y)dy=0 equation:


Simplifying
6y2dx + -1x(2x3y) * dy = 0

Remove parenthesis around (2x3y)
6dxy2 + -1x * 2x3y * dy = 0

Reorder the terms for easier multiplication:
6dxy2 + -1 * 2x * x3y * dy = 0

Multiply -1 * 2
6dxy2 + -2x * x3y * dy = 0

Multiply x * x3y
6dxy2 + -2x4y * dy = 0

Multiply x4y * dy
6dxy2 + -2dx4y2 = 0

Solving
6dxy2 + -2dx4y2 = 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), '2dxy2'.
2dxy2(3 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'dxy2' equal to zero and attempt to solve: Simplifying dxy2 = 0 Solving dxy2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy2 = 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 '(3 + -1x3)' equal to zero and attempt to solve: Simplifying 3 + -1x3 = 0 Solving 3 + -1x3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x3 = 0 + -3 -1x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x3 = -3 Add 'x3' to each side of the equation. -1x3 + x3 = -3 + x3 Combine like terms: -1x3 + x3 = 0 0 = -3 + x3 Simplifying 0 = -3 + x3 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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