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Simplifying y(xy + 2x2y2) * dx + x(xy + -1x2y2) * dy = 0 Reorder the terms for easier multiplication: y * dx(xy + 2x2y2) + x(xy + -1x2y2) * dy = 0 Multiply y * dx dxy(xy + 2x2y2) + x(xy + -1x2y2) * dy = 0 (xy * dxy + 2x2y2 * dxy) + x(xy + -1x2y2) * dy = 0 (dx2y2 + 2dx3y3) + x(xy + -1x2y2) * dy = 0 Reorder the terms for easier multiplication: dx2y2 + 2dx3y3 + x * dy(xy + -1x2y2) = 0 Multiply x * dy dx2y2 + 2dx3y3 + dxy(xy + -1x2y2) = 0 dx2y2 + 2dx3y3 + (xy * dxy + -1x2y2 * dxy) = 0 dx2y2 + 2dx3y3 + (dx2y2 + -1dx3y3) = 0 Reorder the terms: dx2y2 + dx2y2 + 2dx3y3 + -1dx3y3 = 0 Combine like terms: dx2y2 + dx2y2 = 2dx2y2 2dx2y2 + 2dx3y3 + -1dx3y3 = 0 Combine like terms: 2dx3y3 + -1dx3y3 = 1dx3y3 2dx2y2 + 1dx3y3 = 0 Solving 2dx2y2 + 1dx3y3 = 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), 'dx2y2'. dx2y2(2 + xy) = 0Subproblem 1
Set the factor 'dx2y2' equal to zero and attempt to solve: Simplifying dx2y2 = 0 Solving dx2y2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2y2 = 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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