(4y+x^3)dx+xdy=0

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Solution for (4y+x^3)dx+xdy=0 equation:


Simplifying
(4y + x3) * dx + xdy = 0

Reorder the terms:
(x3 + 4y) * dx + xdy = 0

Reorder the terms for easier multiplication:
dx(x3 + 4y) + xdy = 0
(x3 * dx + 4y * dx) + xdy = 0

Reorder the terms:
(4dxy + dx4) + xdy = 0
(4dxy + dx4) + xdy = 0

Reorder the terms:
4dxy + dxy + dx4 = 0

Combine like terms: 4dxy + dxy = 5dxy
5dxy + dx4 = 0

Solving
5dxy + dx4 = 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(5y + x3) = 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 '(5y + x3)' equal to zero and attempt to solve: Simplifying 5y + x3 = 0 Reorder the terms: x3 + 5y = 0 Solving x3 + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x3' to each side of the equation. x3 + -1x3 + 5y = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + 5y = 0 + -1x3 5y = 0 + -1x3 Remove the zero: 5y = -1x3 Add '-5y' to each side of the equation. 5y + -5y = -1x3 + -5y Combine like terms: 5y + -5y = 0 0 = -1x3 + -5y Simplifying 0 = -1x3 + -5y 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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