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Simplifying Y2dx + (-1y2 + x2 + -1xy) * dy = 0 Reorder the terms: dxY2 + (-1xy + x2 + -1y2) * dy = 0 Reorder the terms for easier multiplication: dxY2 + dy(-1xy + x2 + -1y2) = 0 dxY2 + (-1xy * dy + x2 * dy + -1y2 * dy) = 0 dxY2 + (-1dxy2 + dx2y + -1dy3) = 0 Solving dxY2 + -1dxy2 + dx2y + -1dy3 = 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), 'd'. d(xY2 + -1xy2 + x2y + -1y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(xY2 + -1xy2 + x2y + -1y3)' equal to zero and attempt to solve: Simplifying xY2 + -1xy2 + x2y + -1y3 = 0 Solving xY2 + -1xy2 + x2y + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xY2' to each side of the equation. xY2 + -1xy2 + x2y + -1xY2 + -1y3 = 0 + -1xY2 Reorder the terms: xY2 + -1xY2 + -1xy2 + x2y + -1y3 = 0 + -1xY2 Combine like terms: xY2 + -1xY2 = 0 0 + -1xy2 + x2y + -1y3 = 0 + -1xY2 -1xy2 + x2y + -1y3 = 0 + -1xY2 Remove the zero: -1xy2 + x2y + -1y3 = -1xY2 Add 'xy2' to each side of the equation. -1xy2 + x2y + xy2 + -1y3 = -1xY2 + xy2 Reorder the terms: -1xy2 + xy2 + x2y + -1y3 = -1xY2 + xy2 Combine like terms: -1xy2 + xy2 = 0 0 + x2y + -1y3 = -1xY2 + xy2 x2y + -1y3 = -1xY2 + xy2 Add '-1x2y' to each side of the equation. x2y + -1x2y + -1y3 = -1xY2 + xy2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + -1y3 = -1xY2 + xy2 + -1x2y -1y3 = -1xY2 + xy2 + -1x2y Add 'y3' to each side of the equation. -1y3 + y3 = -1xY2 + xy2 + -1x2y + y3 Combine like terms: -1y3 + y3 = 0 0 = -1xY2 + xy2 + -1x2y + y3 Simplifying 0 = -1xY2 + xy2 + -1x2y + y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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