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Simplifying ydx + (3x + xy) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(3x + xy) = 0 dxy + (3x * dy + xy * dy) = 0 dxy + (3dxy + dxy2) = 0 Combine like terms: dxy + 3dxy = 4dxy 4dxy + dxy2 = 0 Solving 4dxy + dxy2 = 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(4 + y) = 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Add '-1y' to each side of the equation. y + -1y = -4 + -1y Combine like terms: y + -1y = 0 0 = -4 + -1y Simplifying 0 = -4 + -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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