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Simplifying dy * dx = x Multiply dy * dx d2xy = x Solving d2xy = x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by 'xy'. d2 = y-1 Simplifying d2 = y-1 Combine like terms: y-1 + -1y-1 = 0 d2 + -1y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(d2y + -1) = 0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(d2y + -1)' equal to zero and attempt to solve: Simplifying d2y + -1 = 0 Reorder the terms: -1 + d2y = 0 Solving -1 + d2y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + d2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + d2y = 0 + 1 d2y = 0 + 1 Combine like terms: 0 + 1 = 1 d2y = 1 Divide each side by 'y'. d2 = y-1 Simplifying d2 = y-1 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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