ydx+(2x-3y)dy=0

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Solution for ydx+(2x-3y)dy=0 equation:


Simplifying
ydx + (2x + -3y) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(2x + -3y) = 0
dxy + (2x * dy + -3y * dy) = 0
dxy + (2dxy + -3dy2) = 0

Combine like terms: dxy + 2dxy = 3dxy
3dxy + -3dy2 = 0

Solving
3dxy + -3dy2 = 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), '3dy'.
3dy(x + -1y) = 0

Ignore the factor 3.

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