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Simplifying dy + 4dx = y2dx Reorder the terms: 4dx + dy = y2dx Solving 4dx + dy = 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. 4dx + -1dxy2 + dy = dxy2 + -1dxy2 Combine like terms: dxy2 + -1dxy2 = 0 4dx + -1dxy2 + dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(4x + -1xy2 + y) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(4x + -1xy2 + y)' equal to zero and attempt to solve: Simplifying 4x + -1xy2 + y = 0 Solving 4x + -1xy2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -1xy2 + -4x + y = 0 + -4x Reorder the terms: 4x + -4x + -1xy2 + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -1xy2 + y = 0 + -4x -1xy2 + y = 0 + -4x Remove the zero: -1xy2 + y = -4x Add 'xy2' to each side of the equation. -1xy2 + xy2 + y = -4x + xy2 Combine like terms: -1xy2 + xy2 = 0 0 + y = -4x + xy2 y = -4x + xy2 Add '-1y' to each side of the equation. y + -1y = -4x + xy2 + -1y Combine like terms: y + -1y = 0 0 = -4x + xy2 + -1y Simplifying 0 = -4x + xy2 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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