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Simplifying Dy = ydx Solving yD = dxy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1dxy' to each side of the equation. -1dxy + yD = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dxy + yD = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1dx + D) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1dx + D)' equal to zero and attempt to solve: Simplifying -1dx + D = 0 Reorder the terms: D + -1dx = 0 Solving D + -1dx = 0 Move all terms containing y to the left, all other terms to the right. Add '-1D' to each side of the equation. D + -1D + -1dx = 0 + -1D Combine like terms: D + -1D = 0 0 + -1dx = 0 + -1D -1dx = 0 + -1D Remove the zero: -1dx = -1D Add 'dx' to each side of the equation. -1dx + dx = -1D + dx Combine like terms: -1dx + dx = 0 0 = -1D + dx Simplifying 0 = -1D + dx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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