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Simplifying ydx = (y + -1xy2) * dy Reorder the terms: dxy = (-1xy2 + y) * dy Reorder the terms for easier multiplication: dxy = dy(-1xy2 + y) dxy = (-1xy2 * dy + y * dy) dxy = (-1dxy3 + dy2) Solving dxy = -1dxy3 + dy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dxy3' to each side of the equation. dxy + dxy3 = -1dxy3 + dxy3 + dy2 Combine like terms: -1dxy3 + dxy3 = 0 dxy + dxy3 = 0 + dy2 dxy + dxy3 = dy2 Add '-1dy2' to each side of the equation. dxy + dxy3 + -1dy2 = dy2 + -1dy2 Combine like terms: dy2 + -1dy2 = 0 dxy + dxy3 + -1dy2 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + xy2 + -1y) = 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 + xy2 + -1y)' equal to zero and attempt to solve: Simplifying x + xy2 + -1y = 0 Solving x + xy2 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + xy2 + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + xy2 + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + xy2 + -1y = 0 + -1x xy2 + -1y = 0 + -1x Remove the zero: xy2 + -1y = -1x Add '-1xy2' to each side of the equation. xy2 + -1xy2 + -1y = -1x + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + -1y = -1x + -1xy2 -1y = -1x + -1xy2 Add 'y' to each side of the equation. -1y + y = -1x + -1xy2 + y Combine like terms: -1y + y = 0 0 = -1x + -1xy2 + y Simplifying 0 = -1x + -1xy2 + y 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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