(x^4+2*y)*dx-x*dy=0

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Solution for (x^4+2*y)*dx-x*dy=0 equation:


Simplifying
(x4 + 2y) * dx + -1x * dy = 0

Reorder the terms for easier multiplication:
dx(x4 + 2y) + -1x * dy = 0
(x4 * dx + 2y * dx) + -1x * dy = 0

Reorder the terms:
(2dxy + dx5) + -1x * dy = 0
(2dxy + dx5) + -1x * dy = 0

Multiply x * dy
2dxy + dx5 + -1dxy = 0

Reorder the terms:
2dxy + -1dxy + dx5 = 0

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

Solving
1dxy + 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(y + 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 '(y + x4)' equal to zero and attempt to solve: Simplifying y + x4 = 0 Reorder the terms: x4 + y = 0 Solving x4 + y = 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 + y = 0 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + y = 0 + -1x4 y = 0 + -1x4 Remove the zero: y = -1x4 Add '-1y' to each side of the equation. y + -1y = -1x4 + -1y Combine like terms: y + -1y = 0 0 = -1x4 + -1y Simplifying 0 = -1x4 + -1y 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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