(y-sqrtx^2+y^2)dx-xdy=0

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Solution for (y-sqrtx^2+y^2)dx-xdy=0 equation:


Simplifying
(y + -1sqrtx2 + y2) * dx + -1xdy = 0

Reorder the terms:
(-1qrstx2 + y + y2) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(-1qrstx2 + y + y2) + -1xdy = 0
(-1qrstx2 * dx + y * dx + y2 * dx) + -1xdy = 0
(-1dqrstx3 + dxy + dxy2) + -1xdy = 0

Reorder the terms:
-1dqrstx3 + dxy + -1dxy + dxy2 = 0

Combine like terms: dxy + -1dxy = 0
-1dqrstx3 + 0 + dxy2 = 0
-1dqrstx3 + dxy2 = 0

Solving
-1dqrstx3 + dxy2 = 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(-1qrstx2 + y2) = 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 '(-1qrstx2 + y2)' equal to zero and attempt to solve: Simplifying -1qrstx2 + y2 = 0 Solving -1qrstx2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'qrstx2' to each side of the equation. -1qrstx2 + qrstx2 + y2 = 0 + qrstx2 Combine like terms: -1qrstx2 + qrstx2 = 0 0 + y2 = 0 + qrstx2 y2 = 0 + qrstx2 Remove the zero: y2 = qrstx2 Add '-1y2' to each side of the equation. y2 + -1y2 = qrstx2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = qrstx2 + -1y2 Simplifying 0 = qrstx2 + -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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