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Simplifying ydx + (x2 + -1) * dy = 0 Reorder the terms: dxy + (-1 + x2) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(-1 + x2) = 0 dxy + (-1 * dy + x2 * dy) = 0 Reorder the terms: dxy + (dx2y + -1dy) = 0 dxy + (dx2y + -1dy) = 0 Solving dxy + dx2y + -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(x + x2 + -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 '(x + x2 + -1)' equal to zero and attempt to solve: Simplifying x + x2 + -1 = 0 Reorder the terms: -1 + x + x2 = 0 Solving -1 + x + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + x2 = 0 + 1 x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 x + x2 = 1 Add '-1x' to each side of the equation. x + -1x + x2 = 1 + -1x Combine like terms: x + -1x = 0 0 + x2 = 1 + -1x x2 = 1 + -1x Add '-1x2' to each side of the equation. x2 + -1x2 = 1 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + -1x + -1x2 Simplifying 0 = 1 + -1x + -1x2 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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