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Simplifying ydx + -1(3x + -1y3) * dy = 0 Reorder the terms for easier multiplication: dxy + -1dy(3x + -1y3) = 0 dxy + (3x * -1dy + -1y3 * -1dy) = 0 dxy + (-3dxy + 1dy4) = 0 Combine like terms: dxy + -3dxy = -2dxy -2dxy + 1dy4 = 0 Solving -2dxy + 1dy4 = 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(-2x + y3) = 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 '(-2x + y3)' equal to zero and attempt to solve: Simplifying -2x + y3 = 0 Solving -2x + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + y3 = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y3 = 0 + 2x y3 = 0 + 2x Remove the zero: y3 = 2x Add '-1y3' to each side of the equation. y3 + -1y3 = 2x + -1y3 Combine like terms: y3 + -1y3 = 0 0 = 2x + -1y3 Simplifying 0 = 2x + -1y3 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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