ydx-4xdy=y^6dx

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Solution for ydx-4xdy=y^6dx equation:


Simplifying
ydx + -4xdy = y6dx

Combine like terms: dxy + -4dxy = -3dxy
-3dxy = y6dx

Solving
-3dxy = dxy6

Solving for variable 'd'.

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

Add '-1dxy6' to each side of the equation.
-3dxy + -1dxy6 = dxy6 + -1dxy6

Combine like terms: dxy6 + -1dxy6 = 0
-3dxy + -1dxy6 = 0

Factor out the Greatest Common Factor (GCF), '-1dxy'.
-1dxy(3 + y5) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(3 + y5)' equal to zero and attempt to solve: Simplifying 3 + y5 = 0 Solving 3 + y5 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y5 = 0 + -3 y5 = 0 + -3 Combine like terms: 0 + -3 = -3 y5 = -3 Add '-1y5' to each side of the equation. y5 + -1y5 = -3 + -1y5 Combine like terms: y5 + -1y5 = 0 0 = -3 + -1y5 Simplifying 0 = -3 + -1y5 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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