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Simplifying ydx + (xy + 3y) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(xy + 3y) = 0 dxy + (xy * dy + 3y * dy) = 0 dxy + (dxy2 + 3dy2) = 0 Solving dxy + dxy2 + 3dy2 = 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), 'dy'. dy(x + xy + 3y) = 0Subproblem 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 '(x + xy + 3y)' equal to zero and attempt to solve: Simplifying x + xy + 3y = 0 Solving x + xy + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + xy + -1x + 3y = 0 + -1x Reorder the terms: x + -1x + xy + 3y = 0 + -1x Combine like terms: x + -1x = 0 0 + xy + 3y = 0 + -1x xy + 3y = 0 + -1x Remove the zero: xy + 3y = -1x Add '-1xy' to each side of the equation. xy + -1xy + 3y = -1x + -1xy Combine like terms: xy + -1xy = 0 0 + 3y = -1x + -1xy 3y = -1x + -1xy Add '-3y' to each side of the equation. 3y + -3y = -1x + -1xy + -3y Combine like terms: 3y + -3y = 0 0 = -1x + -1xy + -3y Simplifying 0 = -1x + -1xy + -3y 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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