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Simplifying (1 + y2) * dy = x2 * dx Reorder the terms for easier multiplication: dy(1 + y2) = x2 * dx (1 * dy + y2 * dy) = x2 * dx (1dy + dy3) = x2 * dx Multiply x2 * dx 1dy + dy3 = dx3 Solving 1dy + dy3 = dx3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx3' to each side of the equation. 1dy + -1dx3 + dy3 = dx3 + -1dx3 Reorder the terms: -1dx3 + 1dy + dy3 = dx3 + -1dx3 Combine like terms: dx3 + -1dx3 = 0 -1dx3 + 1dy + dy3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-1x3 + y + y3) = 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 '(-1x3 + y + y3)' equal to zero and attempt to solve: Simplifying -1x3 + y + y3 = 0 Solving -1x3 + y + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x3' to each side of the equation. -1x3 + y + x3 + y3 = 0 + x3 Reorder the terms: -1x3 + x3 + y + y3 = 0 + x3 Combine like terms: -1x3 + x3 = 0 0 + y + y3 = 0 + x3 y + y3 = 0 + x3 Remove the zero: y + y3 = x3 Add '-1y' to each side of the equation. y + -1y + y3 = x3 + -1y Combine like terms: y + -1y = 0 0 + y3 = x3 + -1y y3 = x3 + -1y Add '-1y3' to each side of the equation. y3 + -1y3 = x3 + -1y + -1y3 Combine like terms: y3 + -1y3 = 0 0 = x3 + -1y + -1y3 Simplifying 0 = x3 + -1y + -1y3 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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