(Y+sqrtxy)dx=xdy

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Solution for (Y+sqrtxy)dx=xdy equation:


Simplifying
(Y + sqrtxy) * dx = xdy

Reorder the terms for easier multiplication:
dx(Y + qrstxy) = xdy
(Y * dx + qrstxy * dx) = xdy

Reorder the terms:
(dqrstx2y + dxY) = xdy
(dqrstx2y + dxY) = xdy

Solving
dqrstx2y + dxY = dxy

Solving for variable 'd'.

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

Add '-1dxy' to each side of the equation.
dqrstx2y + dxY + -1dxy = dxy + -1dxy

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

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(qrstxy + Y + -1y) = 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 '(qrstxy + Y + -1y)' equal to zero and attempt to solve: Simplifying qrstxy + Y + -1y = 0 Reorder the terms: Y + qrstxy + -1y = 0 Solving Y + qrstxy + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + qrstxy + -1Y + -1y = 0 + -1Y Reorder the terms: Y + -1Y + qrstxy + -1y = 0 + -1Y Combine like terms: Y + -1Y = 0 0 + qrstxy + -1y = 0 + -1Y qrstxy + -1y = 0 + -1Y Remove the zero: qrstxy + -1y = -1Y Add '-1qrstxy' to each side of the equation. qrstxy + -1qrstxy + -1y = -1Y + -1qrstxy Combine like terms: qrstxy + -1qrstxy = 0 0 + -1y = -1Y + -1qrstxy -1y = -1Y + -1qrstxy Add 'y' to each side of the equation. -1y + y = -1Y + -1qrstxy + y Combine like terms: -1y + y = 0 0 = -1Y + -1qrstxy + y Simplifying 0 = -1Y + -1qrstxy + y 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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