y^2dx+(3xy-1)dy=0

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Solution for y^2dx+(3xy-1)dy=0 equation: 


Simplifying
y2dx + (3xy + -1) * dy = 0

Reorder the terms:
dxy2 + (-1 + 3xy) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + dy(-1 + 3xy) = 0
dxy2 + (-1 * dy + 3xy * dy) = 0

Reorder the terms:
dxy2 + (3dxy2 + -1dy) = 0
dxy2 + (3dxy2 + -1dy) = 0

Combine like terms: dxy2 + 3dxy2 = 4dxy2
4dxy2 + -1dy = 0

Solving
4dxy2 + -1dy = 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(4xy + -1) = 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 '(4xy + -1)' equal to zero and attempt to solve:

Simplifying
4xy + -1 = 0

Reorder the terms:
-1 + 4xy = 0

Solving
-1 + 4xy = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4xy = 0 + 1
4xy = 0 + 1

Combine like terms: 0 + 1 = 1
4xy = 1

Add '-4xy' to each side of the equation.
4xy + -4xy = 1 + -4xy

Combine like terms: 4xy + -4xy = 0
0 = 1 + -4xy

Simplifying
0 = 1 + -4xy

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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