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Simplifying (1 + x) * dy = y2dx Reorder the terms for easier multiplication: dy(1 + x) = y2dx (1 * dy + x * dy) = y2dx Reorder the terms: (dxy + 1dy) = y2dx (dxy + 1dy) = y2dx Solving dxy + 1dy = dxy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. dxy + -1dxy2 + 1dy = dxy2 + -1dxy2 Combine like terms: dxy2 + -1dxy2 = 0 dxy + -1dxy2 + 1dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + -1xy + 1) = 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 + -1xy + 1)' equal to zero and attempt to solve: Simplifying x + -1xy + 1 = 0 Reorder the terms: 1 + x + -1xy = 0 Solving 1 + x + -1xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + -1xy = 0 + -1 Reorder the terms: 1 + -1 + x + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + -1xy = 0 + -1 x + -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 x + -1xy = -1 Add '-1x' to each side of the equation. x + -1x + -1xy = -1 + -1x Combine like terms: x + -1x = 0 0 + -1xy = -1 + -1x -1xy = -1 + -1x Add 'xy' to each side of the equation. -1xy + xy = -1 + -1x + xy Combine like terms: -1xy + xy = 0 0 = -1 + -1x + xy Simplifying 0 = -1 + -1x + xy 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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