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

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


Simplifying
(1 + -1x) * dy + -1y2dx = 0

Reorder the terms for easier multiplication:
dy(1 + -1x) + -1y2dx = 0
(1 * dy + -1x * dy) + -1y2dx = 0

Reorder the terms:
(-1dxy + 1dy) + -1y2dx = 0
(-1dxy + 1dy) + -1y2dx = 0

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

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