(x+y^6)dy+(x)dy=0

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


Simplifying
(x + y6) * dy + (x) * dy = 0

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

Multiply x * dy
dxy + dy7 + dxy = 0

Reorder the terms:
dxy + dxy + dy7 = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + dy7 = 0

Solving
2dxy + dy7 = 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), 'dy'.
dy(2x + y6) = 0


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 '(2x + y6)' equal to zero and attempt to solve:

Simplifying
2x + y6 = 0

Solving
2x + y6 = 0

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

Add '-2x' to each side of the equation.
2x + -2x + y6 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + y6 = 0 + -2x
y6 = 0 + -2x
Remove the zero:
y6 = -2x

Add '-1y6' to each side of the equation.
y6 + -1y6 = -2x + -1y6

Combine like terms: y6 + -1y6 = 0
0 = -2x + -1y6

Simplifying
0 = -2x + -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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