2xy^2+4=2(3-x^2y)dy

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Solution for 2xy^2+4=2(3-x^2y)dy equation:


Simplifying
2xy2 + 4 = 2(3 + -1x2y) * dy

Reorder the terms:
4 + 2xy2 = 2(3 + -1x2y) * dy

Reorder the terms for easier multiplication:
4 + 2xy2 = 2dy(3 + -1x2y)
4 + 2xy2 = (3 * 2dy + -1x2y * 2dy)

Reorder the terms:
4 + 2xy2 = (-2dx2y2 + 6dy)
4 + 2xy2 = (-2dx2y2 + 6dy)

Solving
4 + 2xy2 = -2dx2y2 + 6dy

Solving for variable 'x'.

Reorder the terms:
4 + 2dx2y2 + -6dy + 2xy2 = -2dx2y2 + 6dy + 2dx2y2 + -6dy

Reorder the terms:
4 + 2dx2y2 + -6dy + 2xy2 = -2dx2y2 + 2dx2y2 + 6dy + -6dy

Combine like terms: -2dx2y2 + 2dx2y2 = 0
4 + 2dx2y2 + -6dy + 2xy2 = 0 + 6dy + -6dy
4 + 2dx2y2 + -6dy + 2xy2 = 6dy + -6dy

Combine like terms: 6dy + -6dy = 0
4 + 2dx2y2 + -6dy + 2xy2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + dx2y2 + -3dy + xy2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + dx2y2 + -3dy + xy2)' equal to zero and attempt to solve: Simplifying 2 + dx2y2 + -3dy + xy2 = 0 Solving 2 + dx2y2 + -3dy + xy2 = 0 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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