(4x^5+3y)dx-xdy=0

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Solution for (4x^5+3y)dx-xdy=0 equation:


Simplifying
(4x5 + 3y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(4x5 + 3y) + -1xdy = 0
(4x5 * dx + 3y * dx) + -1xdy = 0

Reorder the terms:
(3dxy + 4dx6) + -1xdy = 0
(3dxy + 4dx6) + -1xdy = 0

Reorder the terms:
3dxy + -1dxy + 4dx6 = 0

Combine like terms: 3dxy + -1dxy = 2dxy
2dxy + 4dx6 = 0

Solving
2dxy + 4dx6 = 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), '2dx'.
2dx(y + 2x5) = 0

Ignore the factor 2.

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 + 2x5)' equal to zero and attempt to solve: Simplifying y + 2x5 = 0 Reorder the terms: 2x5 + y = 0 Solving 2x5 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x5' to each side of the equation. 2x5 + -2x5 + y = 0 + -2x5 Combine like terms: 2x5 + -2x5 = 0 0 + y = 0 + -2x5 y = 0 + -2x5 Remove the zero: y = -2x5 Add '-1y' to each side of the equation. y + -1y = -2x5 + -1y Combine like terms: y + -1y = 0 0 = -2x5 + -1y Simplifying 0 = -2x5 + -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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