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Simplifying y2dx + -1(2xy + x3) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -1dy(2xy + x3) = 0 dxy2 + (2xy * -1dy + x3 * -1dy) = 0 dxy2 + (-2dxy2 + -1dx3y) = 0 Combine like terms: dxy2 + -2dxy2 = -1dxy2 -1dxy2 + -1dx3y = 0 Solving -1dxy2 + -1dx3y = 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), '-1dxy'. -1dxy(y + x2) = 0 Ignore the factor -1.Subproblem 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 '(y + x2)' equal to zero and attempt to solve: Simplifying y + x2 = 0 Reorder the terms: x2 + y = 0 Solving x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y = 0 + -1x2 y = 0 + -1x2 Remove the zero: y = -1x2 Add '-1y' to each side of the equation. y + -1y = -1x2 + -1y Combine like terms: y + -1y = 0 0 = -1x2 + -1y Simplifying 0 = -1x2 + -1y 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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