4xdy-ydx=(x^2)dy

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Solution for 4xdy-ydx=(x^2)dy equation:


Simplifying
4xdy + -1ydx = (x2) * dy

Combine like terms: 4dxy + -1dxy = 3dxy
3dxy = (x2) * dy

Multiply x2 * dy
3dxy = dx2y

Solving
3dxy = 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.
3dxy + -1dx2y = dx2y + -1dx2y

Combine like terms: dx2y + -1dx2y = 0
3dxy + -1dx2y = 0

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(3 + -1x) = 0

Subproblem 1

Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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