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

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


Simplifying
2(2x2 + y2) * dx + -1xy * dy = 0

Reorder the terms for easier multiplication:
2dx(2x2 + y2) + -1xy * dy = 0
(2x2 * 2dx + y2 * 2dx) + -1xy * dy = 0

Reorder the terms:
(2dxy2 + 4dx3) + -1xy * dy = 0
(2dxy2 + 4dx3) + -1xy * dy = 0

Multiply xy * dy
2dxy2 + 4dx3 + -1dxy2 = 0

Reorder the terms:
2dxy2 + -1dxy2 + 4dx3 = 0

Combine like terms: 2dxy2 + -1dxy2 = 1dxy2
1dxy2 + 4dx3 = 0

Solving
1dxy2 + 4dx3 = 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), 'dx'.
dx(y2 + 4x2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(y2 + 4x2)' equal to zero and attempt to solve:

Simplifying
y2 + 4x2 = 0

Reorder the terms:
4x2 + y2 = 0

Solving
4x2 + y2 = 0

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

Add '-4x2' to each side of the equation.
4x2 + -4x2 + y2 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 + y2 = 0 + -4x2
y2 = 0 + -4x2
Remove the zero:
y2 = -4x2

Add '-1y2' to each side of the equation.
y2 + -1y2 = -4x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -4x2 + -1y2

Simplifying
0 = -4x2 + -1y2

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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