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

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


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

Reorder the terms for easier multiplication:
dy(x5 + 3y) + -1xdy = 0
(x5 * dy + 3y * dy) + -1xdy = 0
(dx5y + 3dy2) + -1xdy = 0

Reorder the terms:
-1dxy + dx5y + 3dy2 = 0

Solving
-1dxy + dx5y + 3dy2 = 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), 'dy'.
dy(-1x + x5 + 3y) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1x + x5 + 3y)' equal to zero and attempt to solve: Simplifying -1x + x5 + 3y = 0 Solving -1x + x5 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x5 + x + 3y = 0 + x Reorder the terms: -1x + x + x5 + 3y = 0 + x Combine like terms: -1x + x = 0 0 + x5 + 3y = 0 + x x5 + 3y = 0 + x Remove the zero: x5 + 3y = x Add '-1x5' to each side of the equation. x5 + -1x5 + 3y = x + -1x5 Combine like terms: x5 + -1x5 = 0 0 + 3y = x + -1x5 3y = x + -1x5 Add '-3y' to each side of the equation. 3y + -3y = x + -1x5 + -3y Combine like terms: 3y + -3y = 0 0 = x + -1x5 + -3y Simplifying 0 = x + -1x5 + -3y 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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