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Simplifying dy = y(xy3 + -1) * dx Reorder the terms: dy = y(-1 + xy3) * dx Reorder the terms for easier multiplication: dy = y * dx(-1 + xy3) Multiply y * dx dy = dxy(-1 + xy3) dy = (-1 * dxy + xy3 * dxy) dy = (-1dxy + dx2y4) Solving dy = -1dxy + dx2y4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dxy' to each side of the equation. dxy + dy = -1dxy + dxy + dx2y4 Combine like terms: -1dxy + dxy = 0 dxy + dy = 0 + dx2y4 dxy + dy = dx2y4 Add '-1dx2y4' to each side of the equation. dxy + -1dx2y4 + dy = dx2y4 + -1dx2y4 Combine like terms: dx2y4 + -1dx2y4 = 0 dxy + -1dx2y4 + dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + -1x2y3 + 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 + -1x2y3 + 1)' equal to zero and attempt to solve: Simplifying x + -1x2y3 + 1 = 0 Reorder the terms: 1 + x + -1x2y3 = 0 Solving 1 + x + -1x2y3 = 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 + -1x2y3 = 0 + -1 Reorder the terms: 1 + -1 + x + -1x2y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + -1x2y3 = 0 + -1 x + -1x2y3 = 0 + -1 Combine like terms: 0 + -1 = -1 x + -1x2y3 = -1 Add '-1x' to each side of the equation. x + -1x + -1x2y3 = -1 + -1x Combine like terms: x + -1x = 0 0 + -1x2y3 = -1 + -1x -1x2y3 = -1 + -1x Add 'x2y3' to each side of the equation. -1x2y3 + x2y3 = -1 + -1x + x2y3 Combine like terms: -1x2y3 + x2y3 = 0 0 = -1 + -1x + x2y3 Simplifying 0 = -1 + -1x + x2y3 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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