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Simplifying y2dx + (2xy + 3) * dy = 0 Reorder the terms: dxy2 + (3 + 2xy) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dy(3 + 2xy) = 0 dxy2 + (3 * dy + 2xy * dy) = 0 Reorder the terms: dxy2 + (2dxy2 + 3dy) = 0 dxy2 + (2dxy2 + 3dy) = 0 Combine like terms: dxy2 + 2dxy2 = 3dxy2 3dxy2 + 3dy = 0 Solving 3dxy2 + 3dy = 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), '3dy'. 3dy(xy + 1) = 0 Ignore the factor 3.Subproblem 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 + 1)' equal to zero and attempt to solve: Simplifying xy + 1 = 0 Reorder the terms: 1 + xy = 0 Solving 1 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Add '-1xy' to each side of the equation. xy + -1xy = -1 + -1xy Combine like terms: xy + -1xy = 0 0 = -1 + -1xy Simplifying 0 = -1 + -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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