(x^3)dx+(y^3)dy=0

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Solution for (x^3)dx+(y^3)dy=0 equation:


Simplifying
(x3) * dx + (y3) * dy = 0

Multiply x3 * dx
dx4 + (y3) * dy = 0

Multiply y3 * dy
dx4 + dy4 = 0

Solving
dx4 + dy4 = 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), 'd'.
d(x4 + y4) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(x4 + y4)' equal to zero and attempt to solve: Simplifying x4 + y4 = 0 Solving x4 + y4 = 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 + y4 = 0 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + y4 = 0 + -1x4 y4 = 0 + -1x4 Remove the zero: y4 = -1x4 Add '-1y4' to each side of the equation. y4 + -1y4 = -1x4 + -1y4 Combine like terms: y4 + -1y4 = 0 0 = -1x4 + -1y4 Simplifying 0 = -1x4 + -1y4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

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