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