ydx+(3x-xy+2)day=0

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Solution for ydx+(3x-xy+2)day=0 equation:


Simplifying
ydx + (3x + -1xy + 2) * day = 0

Reorder the terms:
dxy + (2 + 3x + -1xy) * day = 0

Reorder the terms for easier multiplication:
dxy + ady(2 + 3x + -1xy) = 0
dxy + (2 * ady + 3x * ady + -1xy * ady) = 0

Reorder the terms:
dxy + (3adxy + -1adxy2 + 2ady) = 0
dxy + (3adxy + -1adxy2 + 2ady) = 0

Reorder the terms:
3adxy + -1adxy2 + 2ady + dxy = 0

Solving
3adxy + -1adxy2 + 2ady + dxy = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1dxy' to each side of the equation.
3adxy + -1adxy2 + 2ady + dxy + -1dxy = 0 + -1dxy

Combine like terms: dxy + -1dxy = 0
3adxy + -1adxy2 + 2ady + 0 = 0 + -1dxy
3adxy + -1adxy2 + 2ady = 0 + -1dxy
Remove the zero:
3adxy + -1adxy2 + 2ady = -1dxy

Combine like terms: -1dxy + dxy = 0
3adxy + -1adxy2 + 2ady + dxy = 0

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(3ax + -1axy + 2a + x) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing a to the left, all other terms to the right. Add '-1dy' to each side of the equation. dy + -1dy = 0 + -1dy Remove the zero: 0 = -1dy Simplifying 0 = -1dy 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 '(3ax + -1axy + 2a + x)' equal to zero and attempt to solve: Simplifying 3ax + -1axy + 2a + x = 0 Reorder the terms: 2a + 3ax + -1axy + x = 0 Solving 2a + 3ax + -1axy + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 2a + 3ax + -1axy + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2a + 3ax + -1axy + 0 = 0 + -1x 2a + 3ax + -1axy = 0 + -1x Remove the zero: 2a + 3ax + -1axy = -1x 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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