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Simplifying (y3 + 1) * dy = x * y * dx Reorder the terms: (1 + y3) * dy = x * y * dx Reorder the terms for easier multiplication: dy(1 + y3) = x * y * dx (1 * dy + y3 * dy) = x * y * dx (1dy + dy4) = x * y * dx Multiply x * y 1dy + dy4 = xy * dx Multiply xy * dx 1dy + dy4 = dx2y Solving 1dy + dy4 = dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. 1dy + -1dx2y + dy4 = dx2y + -1dx2y Reorder the terms: -1dx2y + 1dy + dy4 = dx2y + -1dx2y Combine like terms: dx2y + -1dx2y = 0 -1dx2y + 1dy + dy4 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x2 + 1 + y3) = 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 '(-1x2 + 1 + y3)' equal to zero and attempt to solve: Simplifying -1x2 + 1 + y3 = 0 Reorder the terms: 1 + -1x2 + y3 = 0 Solving 1 + -1x2 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x2 + -1 + y3 = 0 + -1 Reorder the terms: 1 + -1 + -1x2 + y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x2 + y3 = 0 + -1 -1x2 + y3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x2 + y3 = -1 Add 'x2' to each side of the equation. -1x2 + x2 + y3 = -1 + x2 Combine like terms: -1x2 + x2 = 0 0 + y3 = -1 + x2 y3 = -1 + x2 Add '-1y3' to each side of the equation. y3 + -1y3 = -1 + x2 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1 + x2 + -1y3 Simplifying 0 = -1 + x2 + -1y3 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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