Y^3dx+(3xy^2+3)dy=0

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Solution for Y^3dx+(3xy^2+3)dy=0 equation: 


Simplifying
Y3dx + (3xy2 + 3) * dy = 0

Reorder the terms:
dxY3 + (3 + 3xy2) * dy = 0

Reorder the terms for easier multiplication:
dxY3 + dy(3 + 3xy2) = 0
dxY3 + (3 * dy + 3xy2 * dy) = 0

Reorder the terms:
dxY3 + (3dxy3 + 3dy) = 0
dxY3 + (3dxy3 + 3dy) = 0

Solving
dxY3 + 3dxy3 + 3dy = 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), 'd'.
d(xY3 + 3xy3 + 3y) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(xY3 + 3xy3 + 3y)' equal to zero and attempt to solve:

Simplifying
xY3 + 3xy3 + 3y = 0

Solving
xY3 + 3xy3 + 3y = 0

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

Add '-1xY3' to each side of the equation.
xY3 + 3xy3 + -1xY3 + 3y = 0 + -1xY3

Reorder the terms:
xY3 + -1xY3 + 3xy3 + 3y = 0 + -1xY3

Combine like terms: xY3 + -1xY3 = 0
0 + 3xy3 + 3y = 0 + -1xY3
3xy3 + 3y = 0 + -1xY3
Remove the zero:
3xy3 + 3y = -1xY3

Add '-3xy3' to each side of the equation.
3xy3 + -3xy3 + 3y = -1xY3 + -3xy3

Combine like terms: 3xy3 + -3xy3 = 0
0 + 3y = -1xY3 + -3xy3
3y = -1xY3 + -3xy3

Add '-3y' to each side of the equation.
3y + -3y = -1xY3 + -3xy3 + -3y

Combine like terms: 3y + -3y = 0
0 = -1xY3 + -3xy3 + -3y

Simplifying
0 = -1xY3 + -3xy3 + -3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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