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Simplifying (x + -1xy2) * dy + ydx + y2dx = 0 Reorder the terms for easier multiplication: dy(x + -1xy2) + ydx + y2dx = 0 (x * dy + -1xy2 * dy) + ydx + y2dx = 0 (dxy + -1dxy3) + ydx + y2dx = 0 Reorder the terms: dxy + dxy + dxy2 + -1dxy3 = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + dxy2 + -1dxy3 = 0 Solving 2dxy + dxy2 + -1dxy3 = 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), 'dxy'. dxy(2 + y + -1y2) = 0 Factor a trinomial. dxy((2 + -1y)(1 + y)) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Add 'y' to each side of the equation. -1y + y = -2 + y Combine like terms: -1y + y = 0 0 = -2 + y Simplifying 0 = -2 + y 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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