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