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Simplifying (x + -2xy + y2) * dy + y2dx = 0 Reorder the terms for easier multiplication: dy(x + -2xy + y2) + y2dx = 0 (x * dy + -2xy * dy + y2 * dy) + y2dx = 0 (dxy + -2dxy2 + dy3) + y2dx = 0 Reorder the terms: dxy + -2dxy2 + dxy2 + dy3 = 0 Combine like terms: -2dxy2 + dxy2 = -1dxy2 dxy + -1dxy2 + dy3 = 0 Solving dxy + -1dxy2 + dy3 = 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(x + -1xy + y2) = 0Subproblem 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 '(x + -1xy + y2)' equal to zero and attempt to solve: Simplifying x + -1xy + y2 = 0 Solving x + -1xy + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1xy + -1x + y2 = 0 + -1x Reorder the terms: x + -1x + -1xy + y2 = 0 + -1x Combine like terms: x + -1x = 0 0 + -1xy + y2 = 0 + -1x -1xy + y2 = 0 + -1x Remove the zero: -1xy + y2 = -1x Add 'xy' to each side of the equation. -1xy + xy + y2 = -1x + xy Combine like terms: -1xy + xy = 0 0 + y2 = -1x + xy y2 = -1x + xy Add '-1y2' to each side of the equation. y2 + -1y2 = -1x + xy + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x + xy + -1y2 Simplifying 0 = -1x + xy + -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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