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

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


Simplifying
(x4 + 3y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(x4 + 3y) + -1xdy = 0
(x4 * dx + 3y * dx) + -1xdy = 0

Reorder the terms:
(3dxy + dx5) + -1xdy = 0
(3dxy + dx5) + -1xdy = 0

Reorder the terms:
3dxy + -1dxy + dx5 = 0

Combine like terms: 3dxy + -1dxy = 2dxy
2dxy + dx5 = 0

Solving
2dxy + dx5 = 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(2y + x4) = 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 '(2y + x4)' equal to zero and attempt to solve: Simplifying 2y + x4 = 0 Reorder the terms: x4 + 2y = 0 Solving x4 + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x4' to each side of the equation. x4 + -1x4 + 2y = 0 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + 2y = 0 + -1x4 2y = 0 + -1x4 Remove the zero: 2y = -1x4 Add '-2y' to each side of the equation. 2y + -2y = -1x4 + -2y Combine like terms: 2y + -2y = 0 0 = -1x4 + -2y Simplifying 0 = -1x4 + -2y 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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