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Simplifying Xdy + ydx = y2 * dy Reorder the terms: dxy + dyX = y2 * dy Multiply y2 * dy dxy + dyX = dy3 Solving dxy + dyX = dy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dy3' to each side of the equation. dxy + dyX + -1dy3 = dy3 + -1dy3 Combine like terms: dy3 + -1dy3 = 0 dxy + dyX + -1dy3 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + X + -1y2) = 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 + X + -1y2)' equal to zero and attempt to solve: Simplifying x + X + -1y2 = 0 Reorder the terms: X + x + -1y2 = 0 Solving X + x + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X' to each side of the equation. X + x + -1X + -1y2 = 0 + -1X Reorder the terms: X + -1X + x + -1y2 = 0 + -1X Combine like terms: X + -1X = 0 0 + x + -1y2 = 0 + -1X x + -1y2 = 0 + -1X Remove the zero: x + -1y2 = -1X Add '-1x' to each side of the equation. x + -1x + -1y2 = -1X + -1x Combine like terms: x + -1x = 0 0 + -1y2 = -1X + -1x -1y2 = -1X + -1x Add 'y2' to each side of the equation. -1y2 + y2 = -1X + -1x + y2 Combine like terms: -1y2 + y2 = 0 0 = -1X + -1x + y2 Simplifying 0 = -1X + -1x + y2 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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