(x^3y^4)dx+(y^3)dy=0

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


Simplifying
(x3y4) * dx + (y3) * dy = 0

Multiply x3y4 * dx
dx4y4 + (y3) * dy = 0

Multiply y3 * dy
dx4y4 + dy4 = 0

Solving
dx4y4 + 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), 'dy4'.
dy4(x4 + 1) = 0

Subproblem 1

Set the factor 'dy4' equal to zero and attempt to solve: Simplifying dy4 = 0 Solving dy4 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy4 = 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 '(x4 + 1)' equal to zero and attempt to solve: Simplifying x4 + 1 = 0 Reorder the terms: 1 + x4 = 0 Solving 1 + x4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x4 = 0 + -1 x4 = 0 + -1 Combine like terms: 0 + -1 = -1 x4 = -1 Add '-1x4' to each side of the equation. x4 + -1x4 = -1 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = -1 + -1x4 Simplifying 0 = -1 + -1x4 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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