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Simplifying ydx + (y + -1x) * dx = 0 Reorder the terms: dxy + (-1x + y) * dx = 0 Reorder the terms for easier multiplication: dxy + dx(-1x + y) = 0 dxy + (-1x * dx + y * dx) = 0 Reorder the terms: dxy + (dxy + -1dx2) = 0 dxy + (dxy + -1dx2) = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + -1dx2 = 0 Solving 2dxy + -1dx2 = 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), 'dx'. dx(2y + -1x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + 2y = 0 + x Combine like terms: -1x + x = 0 0 + 2y = 0 + x 2y = 0 + x Remove the zero: 2y = x Add '-2y' to each side of the equation. 2y + -2y = x + -2y Combine like terms: 2y + -2y = 0 0 = x + -2y Simplifying 0 = x + -2y 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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