ydx+(x^2-4x)dy=0

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Solution for ydx+(x^2-4x)dy=0 equation: 


Simplifying
ydx + (x2 + -4x) * dy = 0

Reorder the terms:
dxy + (-4x + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(-4x + x2) = 0
dxy + (-4x * dy + x2 * dy) = 0
dxy + (-4dxy + dx2y) = 0

Combine like terms: dxy + -4dxy = -3dxy
-3dxy + dx2y = 0

Solving
-3dxy + dx2y = 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), 'dxy'.
dxy(-3 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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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