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

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


Simplifying
2(xy) * dx + (x2 + -1) * dy = 0

Multiply xy * dx
2dx2y + (x2 + -1) * dy = 0

Reorder the terms:
2dx2y + (-1 + x2) * dy = 0

Reorder the terms for easier multiplication:
2dx2y + dy(-1 + x2) = 0
2dx2y + (-1 * dy + x2 * dy) = 0

Reorder the terms:
2dx2y + (dx2y + -1dy) = 0
2dx2y + (dx2y + -1dy) = 0

Combine like terms: 2dx2y + dx2y = 3dx2y
3dx2y + -1dy = 0

Solving
3dx2y + -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(3x2 + -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 '(3x2 + -1)' equal to zero and attempt to solve:

Simplifying
3x2 + -1 = 0

Reorder the terms:
-1 + 3x2 = 0

Solving
-1 + 3x2 = 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 + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 = 0 + 1
3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3x2 = 1

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 1 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 1 + -3x2

Simplifying
0 = 1 + -3x2

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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