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Simplifying ydx + (-2x + 4y4 + y3) * dy = 0 Reorder the terms: dxy + (-2x + y3 + 4y4) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(-2x + y3 + 4y4) = 0 dxy + (-2x * dy + y3 * dy + 4y4 * dy) = 0 dxy + (-2dxy + dy4 + 4dy5) = 0 Combine like terms: dxy + -2dxy = -1dxy -1dxy + dy4 + 4dy5 = 0 Solving -1dxy + dy4 + 4dy5 = 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(-1x + y3 + 4y4) = 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 '(-1x + y3 + 4y4)' equal to zero and attempt to solve: Simplifying -1x + y3 + 4y4 = 0 Solving -1x + y3 + 4y4 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + y3 + x + 4y4 = 0 + x Reorder the terms: -1x + x + y3 + 4y4 = 0 + x Combine like terms: -1x + x = 0 0 + y3 + 4y4 = 0 + x y3 + 4y4 = 0 + x Remove the zero: y3 + 4y4 = x Add '-1y3' to each side of the equation. y3 + -1y3 + 4y4 = x + -1y3 Combine like terms: y3 + -1y3 = 0 0 + 4y4 = x + -1y3 4y4 = x + -1y3 Add '-4y4' to each side of the equation. 4y4 + -4y4 = x + -1y3 + -4y4 Combine like terms: 4y4 + -4y4 = 0 0 = x + -1y3 + -4y4 Simplifying 0 = x + -1y3 + -4y4 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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