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Simplifying (1 + x) * dy = 4ydx Reorder the terms for easier multiplication: dy(1 + x) = 4ydx (1 * dy + x * dy) = 4ydx Reorder the terms: (dxy + 1dy) = 4ydx (dxy + 1dy) = 4ydx Solving dxy + 1dy = 4dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dxy' to each side of the equation. dxy + -4dxy + 1dy = 4dxy + -4dxy Combine like terms: dxy + -4dxy = -3dxy -3dxy + 1dy = 4dxy + -4dxy Combine like terms: 4dxy + -4dxy = 0 -3dxy + 1dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-3x + 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 '(-3x + 1)' equal to zero and attempt to solve: Simplifying -3x + 1 = 0 Reorder the terms: 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Add '3x' to each side of the equation. -3x + 3x = -1 + 3x Combine like terms: -3x + 3x = 0 0 = -1 + 3x Simplifying 0 = -1 + 3x 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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