sqrt((1-y^2))dx-sqrt((1-x^2))dy=0

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


Simplifying
sqrt(1 + -1y2) * dx + -1sqrt(1 + -1x2) * dy = 0

Reorder the terms for easier multiplication:
qrst * dx(1 + -1y2) + -1sqrt(1 + -1x2) * dy = 0

Multiply qrst * dx
dqrstx(1 + -1y2) + -1sqrt(1 + -1x2) * dy = 0
(1 * dqrstx + -1y2 * dqrstx) + -1sqrt(1 + -1x2) * dy = 0
(1dqrstx + -1dqrstxy2) + -1sqrt(1 + -1x2) * dy = 0

Reorder the terms for easier multiplication:
1dqrstx + -1dqrstxy2 + -1qrst * dy(1 + -1x2) = 0

Multiply qrst * dy
1dqrstx + -1dqrstxy2 + -1dqrsty(1 + -1x2) = 0
1dqrstx + -1dqrstxy2 + (1 * -1dqrsty + -1x2 * -1dqrsty) = 0

Reorder the terms:
1dqrstx + -1dqrstxy2 + (1dqrstx2y + -1dqrsty) = 0
1dqrstx + -1dqrstxy2 + (1dqrstx2y + -1dqrsty) = 0

Solving
1dqrstx + -1dqrstxy2 + 1dqrstx2y + -1dqrsty = 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), 'dqrst'.
dqrst(x + -1xy2 + x2y + -1y) = 0

Subproblem 1

Set the factor 'dqrst' equal to zero and attempt to solve: Simplifying dqrst = 0 Solving dqrst = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dqrst = 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 '(x + -1xy2 + x2y + -1y)' equal to zero and attempt to solve: Simplifying x + -1xy2 + x2y + -1y = 0 Solving x + -1xy2 + x2y + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1xy2 + x2y + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + -1xy2 + x2y + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1xy2 + x2y + -1y = 0 + -1x -1xy2 + x2y + -1y = 0 + -1x Remove the zero: -1xy2 + x2y + -1y = -1x Add 'xy2' to each side of the equation. -1xy2 + x2y + xy2 + -1y = -1x + xy2 Reorder the terms: -1xy2 + xy2 + x2y + -1y = -1x + xy2 Combine like terms: -1xy2 + xy2 = 0 0 + x2y + -1y = -1x + xy2 x2y + -1y = -1x + xy2 Add '-1x2y' to each side of the equation. x2y + -1x2y + -1y = -1x + xy2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + -1y = -1x + xy2 + -1x2y -1y = -1x + xy2 + -1x2y Add 'y' to each side of the equation. -1y + y = -1x + xy2 + -1x2y + y Combine like terms: -1y + y = 0 0 = -1x + xy2 + -1x2y + y Simplifying 0 = -1x + xy2 + -1x2y + 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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