ydx-4(x+y^6)dy=0

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Solution for ydx-4(x+y^6)dy=0 equation:


Simplifying
ydx + -4(x + y6) * dy = 0

Reorder the terms for easier multiplication:
dxy + -4dy(x + y6) = 0
dxy + (x * -4dy + y6 * -4dy) = 0
dxy + (-4dxy + -4dy7) = 0

Combine like terms: dxy + -4dxy = -3dxy
-3dxy + -4dy7 = 0

Solving
-3dxy + -4dy7 = 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), '-1dy'.
-1dy(3x + 4y6) = 0

Ignore the factor -1.

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 '(3x + 4y6)' equal to zero and attempt to solve: Simplifying 3x + 4y6 = 0 Solving 3x + 4y6 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + 4y6 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 4y6 = 0 + -3x 4y6 = 0 + -3x Remove the zero: 4y6 = -3x Add '-4y6' to each side of the equation. 4y6 + -4y6 = -3x + -4y6 Combine like terms: 4y6 + -4y6 = 0 0 = -3x + -4y6 Simplifying 0 = -3x + -4y6 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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