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Simplifying (4 + -1x) * dy + 3ydx = 0 Reorder the terms for easier multiplication: dy(4 + -1x) + 3ydx = 0 (4 * dy + -1x * dy) + 3ydx = 0 Reorder the terms: (-1dxy + 4dy) + 3ydx = 0 (-1dxy + 4dy) + 3ydx = 0 Reorder the terms: -1dxy + 3dxy + 4dy = 0 Combine like terms: -1dxy + 3dxy = 2dxy 2dxy + 4dy = 0 Solving 2dxy + 4dy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2dy'. 2dy(x + 2) = 0 Ignore the factor 2.Subproblem 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 '(x + 2)' equal to zero and attempt to solve: Simplifying x + 2 = 0 Reorder the terms: 2 + x = 0 Solving 2 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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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