xdy-4(y+x^6)dx=0

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Solution for xdy-4(y+x^6)dx=0 equation:


Simplifying
xdy + -4(y + x6) * dx = 0

Reorder the terms:
dxy + -4(x6 + y) * dx = 0

Reorder the terms for easier multiplication:
dxy + -4dx(x6 + y) = 0
dxy + (x6 * -4dx + y * -4dx) = 0

Reorder the terms:
dxy + (-4dxy + -4dx7) = 0
dxy + (-4dxy + -4dx7) = 0

Combine like terms: dxy + -4dxy = -3dxy
-3dxy + -4dx7 = 0

Solving
-3dxy + -4dx7 = 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), '-1dx'.
-1dx(3y + 4x6) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(3y + 4x6)' equal to zero and attempt to solve: Simplifying 3y + 4x6 = 0 Reorder the terms: 4x6 + 3y = 0 Solving 4x6 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x6' to each side of the equation. 4x6 + -4x6 + 3y = 0 + -4x6 Combine like terms: 4x6 + -4x6 = 0 0 + 3y = 0 + -4x6 3y = 0 + -4x6 Remove the zero: 3y = -4x6 Add '-3y' to each side of the equation. 3y + -3y = -4x6 + -3y Combine like terms: 3y + -3y = 0 0 = -4x6 + -3y Simplifying 0 = -4x6 + -3y 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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