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Simplifying ydx + (4x + -1y2) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(4x + -1y2) = 0 dxy + (4x * dy + -1y2 * dy) = 0 dxy + (4dxy + -1dy3) = 0 Combine like terms: dxy + 4dxy = 5dxy 5dxy + -1dy3 = 0 Solving 5dxy + -1dy3 = 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), 'dy'. dy(5x + -1y2) = 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 '(5x + -1y2)' equal to zero and attempt to solve: Simplifying 5x + -1y2 = 0 Solving 5x + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + -1y2 = 0 + -5x Combine like terms: 5x + -5x = 0 0 + -1y2 = 0 + -5x -1y2 = 0 + -5x Remove the zero: -1y2 = -5x Add 'y2' to each side of the equation. -1y2 + y2 = -5x + y2 Combine like terms: -1y2 + y2 = 0 0 = -5x + y2 Simplifying 0 = -5x + y2 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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