(x^3+y^4)dx-8xy^3*dy=0

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Solution for (x^3+y^4)dx-8xy^3*dy=0 equation:


Simplifying
(x3 + y4) * dx + -8xy3 * dy = 0

Reorder the terms for easier multiplication:
dx(x3 + y4) + -8xy3 * dy = 0
(x3 * dx + y4 * dx) + -8xy3 * dy = 0

Reorder the terms:
(dxy4 + dx4) + -8xy3 * dy = 0
(dxy4 + dx4) + -8xy3 * dy = 0

Multiply xy3 * dy
dxy4 + dx4 + -8dxy4 = 0

Reorder the terms:
dxy4 + -8dxy4 + dx4 = 0

Combine like terms: dxy4 + -8dxy4 = -7dxy4
-7dxy4 + dx4 = 0

Solving
-7dxy4 + 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(-7y4 + 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 '(-7y4 + x3)' equal to zero and attempt to solve: Simplifying -7y4 + x3 = 0 Reorder the terms: x3 + -7y4 = 0 Solving x3 + -7y4 = 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 + -7y4 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + -7y4 = 0 + -1x3 -7y4 = 0 + -1x3 Remove the zero: -7y4 = -1x3 Add '7y4' to each side of the equation. -7y4 + 7y4 = -1x3 + 7y4 Combine like terms: -7y4 + 7y4 = 0 0 = -1x3 + 7y4 Simplifying 0 = -1x3 + 7y4 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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