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Simplifying (x2 + 9) * dy = ydx Reorder the terms: (9 + x2) * dy = ydx Reorder the terms for easier multiplication: dy(9 + x2) = ydx (9 * dy + x2 * dy) = ydx Reorder the terms: (dx2y + 9dy) = ydx (dx2y + 9dy) = ydx Solving dx2y + 9dy = dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. dx2y + -1dxy + 9dy = dxy + -1dxy Reorder the terms: -1dxy + dx2y + 9dy = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dxy + dx2y + 9dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + x2 + 9) = 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 + x2 + 9)' equal to zero and attempt to solve: Simplifying -1x + x2 + 9 = 0 Reorder the terms: 9 + -1x + x2 = 0 Solving 9 + -1x + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + x2 = 0 + -9 -1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + x2 = -9 Add 'x' to each side of the equation. -1x + x + x2 = -9 + x Combine like terms: -1x + x = 0 0 + x2 = -9 + x x2 = -9 + x Add '-1x2' to each side of the equation. x2 + -1x2 = -9 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -9 + x + -1x2 Simplifying 0 = -9 + x + -1x2 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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