x*y*dx+sqr(1-x^2)*dy=0

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Solution for x*y*dx+sqr(1-x^2)*dy=0 equation:


Simplifying
x * y * dx + sqr(1 + -1x2) * dy = 0

Multiply x * y
xy * dx + sqr(1 + -1x2) * dy = 0

Multiply xy * dx
dx2y + sqr(1 + -1x2) * dy = 0

Reorder the terms for easier multiplication:
dx2y + qrs * dy(1 + -1x2) = 0

Multiply qrs * dy
dx2y + dqrsy(1 + -1x2) = 0
dx2y + (1 * dqrsy + -1x2 * dqrsy) = 0

Reorder the terms:
dx2y + (-1dqrsx2y + 1dqrsy) = 0
dx2y + (-1dqrsx2y + 1dqrsy) = 0

Reorder the terms:
-1dqrsx2y + 1dqrsy + dx2y = 0

Solving
-1dqrsx2y + 1dqrsy + dx2y = 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), 'dy'.
dy(-1qrsx2 + qrs + x2) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1qrsx2 + qrs + x2)' equal to zero and attempt to solve: Simplifying -1qrsx2 + qrs + x2 = 0 Reorder the terms: qrs + -1qrsx2 + x2 = 0 Solving qrs + -1qrsx2 + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1qrs' to each side of the equation. qrs + -1qrsx2 + -1qrs + x2 = 0 + -1qrs Reorder the terms: qrs + -1qrs + -1qrsx2 + x2 = 0 + -1qrs Combine like terms: qrs + -1qrs = 0 0 + -1qrsx2 + x2 = 0 + -1qrs -1qrsx2 + x2 = 0 + -1qrs Remove the zero: -1qrsx2 + x2 = -1qrs Add 'qrsx2' to each side of the equation. -1qrsx2 + qrsx2 + x2 = -1qrs + qrsx2 Combine like terms: -1qrsx2 + qrsx2 = 0 0 + x2 = -1qrs + qrsx2 x2 = -1qrs + qrsx2 Add '-1x2' to each side of the equation. x2 + -1x2 = -1qrs + qrsx2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1qrs + qrsx2 + -1x2 Simplifying 0 = -1qrs + qrsx2 + -1x2 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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