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Simplifying ydx + (x + (x2) * y) * dy = 0 Multiply x2 * y dxy + (x + x2y) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(x + x2y) = 0 dxy + (x * dy + x2y * dy) = 0 dxy + (dxy + dx2y2) = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + dx2y2 = 0 Solving 2dxy + dx2y2 = 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 + xy) = 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 + xy)' equal to zero and attempt to solve: Simplifying 2 + xy = 0 Solving 2 + xy = 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 + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy = 0 + -2 xy = 0 + -2 Combine like terms: 0 + -2 = -2 xy = -2 Add '-1xy' to each side of the equation. xy + -1xy = -2 + -1xy Combine like terms: xy + -1xy = 0 0 = -2 + -1xy Simplifying 0 = -2 + -1xy 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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