y*dx-3(x+y^5)*dy=0

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Solution for y*dx-3(x+y^5)*dy=0 equation: 


Simplifying
y * dx + -3(x + y5) * dy = 0

Multiply y * dx
dxy + -3(x + y5) * dy = 0

Reorder the terms for easier multiplication:
dxy + -3dy(x + y5) = 0
dxy + (x * -3dy + y5 * -3dy) = 0
dxy + (-3dxy + -3dy6) = 0

Combine like terms: dxy + -3dxy = -2dxy
-2dxy + -3dy6 = 0

Solving
-2dxy + -3dy6 = 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(2x + 3y5) = 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 '(2x + 3y5)' equal to zero and attempt to solve:

Simplifying
2x + 3y5 = 0

Solving
2x + 3y5 = 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 + 3y5 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + 3y5 = 0 + -2x
3y5 = 0 + -2x
Remove the zero:
3y5 = -2x

Add '-3y5' to each side of the equation.
3y5 + -3y5 = -2x + -3y5

Combine like terms: 3y5 + -3y5 = 0
0 = -2x + -3y5

Simplifying
0 = -2x + -3y5

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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