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

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


Simplifying
(2y3 + 2) * dx + x2dy = 0

Reorder the terms:
(2 + 2y3) * dx + x2dy = 0

Reorder the terms for easier multiplication:
dx(2 + 2y3) + x2dy = 0
(2 * dx + 2y3 * dx) + x2dy = 0
(2dx + 2dxy3) + x2dy = 0

Solving
2dx + 2dxy3 + dx2y = 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), 'dx'.
dx(2 + 2y3 + xy) = 0

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(2 + 2y3 + xy)' equal to zero and attempt to solve: Simplifying 2 + 2y3 + xy = 0 Reorder the terms: 2 + xy + 2y3 = 0 Solving 2 + xy + 2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + xy + -2 + 2y3 = 0 + -2 Reorder the terms: 2 + -2 + xy + 2y3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy + 2y3 = 0 + -2 xy + 2y3 = 0 + -2 Combine like terms: 0 + -2 = -2 xy + 2y3 = -2 Add '-1xy' to each side of the equation. xy + -1xy + 2y3 = -2 + -1xy Combine like terms: xy + -1xy = 0 0 + 2y3 = -2 + -1xy 2y3 = -2 + -1xy Add '-2y3' to each side of the equation. 2y3 + -2y3 = -2 + -1xy + -2y3 Combine like terms: 2y3 + -2y3 = 0 0 = -2 + -1xy + -2y3 Simplifying 0 = -2 + -1xy + -2y3 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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