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Simplifying xdy + -1ydx = y3(x2 + y2) * dy Combine like terms: dxy + -1dxy = 0 0 = y3(x2 + y2) * dy Reorder the terms for easier multiplication: 0 = y3 * dy(x2 + y2) Multiply y3 * dy 0 = dy4(x2 + y2) 0 = (x2 * dy4 + y2 * dy4) 0 = (dx2y4 + dy6) Solving 0 = dx2y4 + dy6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y4' to each side of the equation. 0 + -1dx2y4 = dx2y4 + -1dx2y4 + dy6 Remove the zero: -1dx2y4 = dx2y4 + -1dx2y4 + dy6 Combine like terms: dx2y4 + -1dx2y4 = 0 -1dx2y4 = 0 + dy6 -1dx2y4 = dy6 Add '-1dy6' to each side of the equation. -1dx2y4 + -1dy6 = dy6 + -1dy6 Combine like terms: dy6 + -1dy6 = 0 -1dx2y4 + -1dy6 = 0 Factor out the Greatest Common Factor (GCF), '-1dy4'. -1dy4(x2 + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'dy4' equal to zero and attempt to solve: Simplifying dy4 = 0 Solving dy4 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy4 = 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 '(x2 + y2)' equal to zero and attempt to solve: Simplifying x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -1y2 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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