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Simplifying 4dy + ydx = x2dy Reorder the terms: dxy + 4dy = x2dy Solving dxy + 4dy = dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. dxy + -1dx2y + 4dy = dx2y + -1dx2y Combine like terms: dx2y + -1dx2y = 0 dxy + -1dx2y + 4dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + -1x2 + 4) = 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 '(x + -1x2 + 4)' equal to zero and attempt to solve: Simplifying x + -1x2 + 4 = 0 Reorder the terms: 4 + x + -1x2 = 0 Solving 4 + x + -1x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + -1x2 = 0 + -4 Reorder the terms: 4 + -4 + x + -1x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + -1x2 = 0 + -4 x + -1x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x + -1x2 = -4 Add '-1x' to each side of the equation. x + -1x + -1x2 = -4 + -1x Combine like terms: x + -1x = 0 0 + -1x2 = -4 + -1x -1x2 = -4 + -1x Add 'x2' to each side of the equation. -1x2 + x2 = -4 + -1x + x2 Combine like terms: -1x2 + x2 = 0 0 = -4 + -1x + x2 Simplifying 0 = -4 + -1x + x2 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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