(2sqrt(xy)-y)dx-xdy=0

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Solution for (2sqrt(xy)-y)dx-xdy=0 equation:


Simplifying
(2sqrt(xy) + -1y) * dx + -1xdy = 0

Multiply qrst * xy
(2qrstxy + -1y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(2qrstxy + -1y) + -1xdy = 0
(2qrstxy * dx + -1y * dx) + -1xdy = 0
(2dqrstx2y + -1dxy) + -1xdy = 0

Combine like terms: -1dxy + -1dxy = -2dxy
2dqrstx2y + -2dxy = 0

Solving
2dqrstx2y + -2dxy = 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), '2dxy'.
2dxy(qrstx + -1) = 0

Ignore the factor 2.

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 '(qrstx + -1)' equal to zero and attempt to solve: Simplifying qrstx + -1 = 0 Reorder the terms: -1 + qrstx = 0 Solving -1 + qrstx = 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 + qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + qrstx = 0 + 1 qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 qrstx = 1 Add '-1qrstx' to each side of the equation. qrstx + -1qrstx = 1 + -1qrstx Combine like terms: qrstx + -1qrstx = 0 0 = 1 + -1qrstx Simplifying 0 = 1 + -1qrstx 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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