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Simplifying (x3 + y) * dy + -1ydx = 0 Reorder the terms for easier multiplication: dy(x3 + y) + -1ydx = 0 (x3 * dy + y * dy) + -1ydx = 0 (dx3y + dy2) + -1ydx = 0 Reorder the terms: -1dxy + dx3y + dy2 = 0 Solving -1dxy + dx3y + dy2 = 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), 'dy'. dy(-1x + x3 + y) = 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 '(-1x + x3 + y)' equal to zero and attempt to solve: Simplifying -1x + x3 + y = 0 Solving -1x + x3 + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x3 + x + y = 0 + x Reorder the terms: -1x + x + x3 + y = 0 + x Combine like terms: -1x + x = 0 0 + x3 + y = 0 + x x3 + y = 0 + x Remove the zero: x3 + y = x Add '-1x3' to each side of the equation. x3 + -1x3 + y = x + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y = x + -1x3 y = x + -1x3 Add '-1y' to each side of the equation. y + -1y = x + -1x3 + -1y Combine like terms: y + -1y = 0 0 = x + -1x3 + -1y Simplifying 0 = x + -1x3 + -1y 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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