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Simplifying (x + y2) * dy + -1dx = 0 Reorder the terms for easier multiplication: dy(x + y2) + -1dx = 0 (x * dy + y2 * dy) + -1dx = 0 (dxy + dy3) + -1dx = 0 Reorder the terms: -1dx + dxy + dy3 = 0 Solving -1dx + dxy + dy3 = 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), 'd'. d(-1x + xy + y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-1x + xy + y3)' equal to zero and attempt to solve: Simplifying -1x + xy + y3 = 0 Solving -1x + xy + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + xy + x + y3 = 0 + x Reorder the terms: -1x + x + xy + y3 = 0 + x Combine like terms: -1x + x = 0 0 + xy + y3 = 0 + x xy + y3 = 0 + x Remove the zero: xy + y3 = x Add '-1xy' to each side of the equation. xy + -1xy + y3 = x + -1xy Combine like terms: xy + -1xy = 0 0 + y3 = x + -1xy y3 = x + -1xy Add '-1y3' to each side of the equation. y3 + -1y3 = x + -1xy + -1y3 Combine like terms: y3 + -1y3 = 0 0 = x + -1xy + -1y3 Simplifying 0 = x + -1xy + -1y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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