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Simplifying xdy + -1ydx + (y2 + -1) * dy = 0 Reorder the terms: dxy + -1dxy + (-1 + y2) * dy = 0 Reorder the terms for easier multiplication: dxy + -1dxy + dy(-1 + y2) = 0 dxy + -1dxy + (-1 * dy + y2 * dy) = 0 dxy + -1dxy + (-1dy + dy3) = 0 Combine like terms: dxy + -1dxy = 0 0 + -1dy + dy3 = 0 -1dy + dy3 = 0 Solving -1dy + 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(-1 + y2) = 0 Factor a difference between two squares. dy((1 + y)(-1 + y)) = 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Add '-1y' to each side of the equation. y + -1y = 1 + -1y Combine like terms: y + -1y = 0 0 = 1 + -1y Simplifying 0 = 1 + -1y 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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