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Simplifying (1 + x2) * dy + y2dx = 0 Reorder the terms for easier multiplication: dy(1 + x2) + y2dx = 0 (1 * dy + x2 * dy) + y2dx = 0 Reorder the terms: (dx2y + 1dy) + y2dx = 0 (dx2y + 1dy) + y2dx = 0 Reorder the terms: dxy2 + dx2y + 1dy = 0 Solving dxy2 + 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(xy + 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 '(xy + x2 + 1)' equal to zero and attempt to solve: Simplifying xy + x2 + 1 = 0 Reorder the terms: 1 + xy + x2 = 0 Solving 1 + xy + 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 + xy + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + xy + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy + x2 = 0 + -1 xy + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 xy + x2 = -1 Add '-1xy' to each side of the equation. xy + -1xy + x2 = -1 + -1xy Combine like terms: xy + -1xy = 0 0 + x2 = -1 + -1xy x2 = -1 + -1xy Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + -1xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + -1xy + -1x2 Simplifying 0 = -1 + -1xy + -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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