ydx-4xdy=y^6(dy)

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Solution for ydx-4xdy=y^6(dy) equation:


Simplifying
ydx + -4xdy = y6(dy)

Combine like terms: dxy + -4dxy = -3dxy
-3dxy = y6(dy)

Multiply y6 * dy
-3dxy = dy7

Solving
-3dxy = dy7

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1dy7' to each side of the equation.
-3dxy + -1dy7 = dy7 + -1dy7

Combine like terms: dy7 + -1dy7 = 0
-3dxy + -1dy7 = 0

Factor out the Greatest Common Factor (GCF), '-1dy'.
-1dy(3x + y6) = 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 + y6)' equal to zero and attempt to solve: Simplifying 3x + y6 = 0 Solving 3x + y6 = 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 + y6 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + y6 = 0 + -3x y6 = 0 + -3x Remove the zero: y6 = -3x Add '-1y6' to each side of the equation. y6 + -1y6 = -3x + -1y6 Combine like terms: y6 + -1y6 = 0 0 = -3x + -1y6 Simplifying 0 = -3x + -1y6 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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