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