(90xy+4y^4)dx+(72x^2+7xy^3)dy=0

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Solution for (90xy+4y^4)dx+(72x^2+7xy^3)dy=0 equation: 


Simplifying
(90xy + 4y4) * dx + (72x2 + 7xy3) * dy = 0

Reorder the terms for easier multiplication:
dx(90xy + 4y4) + (72x2 + 7xy3) * dy = 0
(90xy * dx + 4y4 * dx) + (72x2 + 7xy3) * dy = 0

Reorder the terms:
(4dxy4 + 90dx2y) + (72x2 + 7xy3) * dy = 0
(4dxy4 + 90dx2y) + (72x2 + 7xy3) * dy = 0

Reorder the terms:
4dxy4 + 90dx2y + (7xy3 + 72x2) * dy = 0

Reorder the terms for easier multiplication:
4dxy4 + 90dx2y + dy(7xy3 + 72x2) = 0
4dxy4 + 90dx2y + (7xy3 * dy + 72x2 * dy) = 0
4dxy4 + 90dx2y + (7dxy4 + 72dx2y) = 0

Reorder the terms:
4dxy4 + 7dxy4 + 90dx2y + 72dx2y = 0

Combine like terms: 4dxy4 + 7dxy4 = 11dxy4
11dxy4 + 90dx2y + 72dx2y = 0

Combine like terms: 90dx2y + 72dx2y = 162dx2y
11dxy4 + 162dx2y = 0

Solving
11dxy4 + 162dx2y = 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), 'dxy'.
dxy(11y3 + 162x) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(11y3 + 162x)' equal to zero and attempt to solve:

Simplifying
11y3 + 162x = 0

Reorder the terms:
162x + 11y3 = 0

Solving
162x + 11y3 = 0

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

Add '-162x' to each side of the equation.
162x + -162x + 11y3 = 0 + -162x

Combine like terms: 162x + -162x = 0
0 + 11y3 = 0 + -162x
11y3 = 0 + -162x
Remove the zero:
11y3 = -162x

Add '-11y3' to each side of the equation.
11y3 + -11y3 = -162x + -11y3

Combine like terms: 11y3 + -11y3 = 0
0 = -162x + -11y3

Simplifying
0 = -162x + -11y3

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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