dx(x+1)=ydx

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Solution for dx(x+1)=ydx equation: 


Simplifying
dx(x + 1) = ydx

Reorder the terms:
dx(1 + x) = ydx
(1 * dx + x * dx) = ydx
(1dx + dx2) = ydx

Solving
1dx + dx2 = dxy

Solving for variable 'd'.

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

Add '-1dxy' to each side of the equation.
1dx + -1dxy + dx2 = dxy + -1dxy

Combine like terms: dxy + -1dxy = 0
1dx + -1dxy + dx2 = 0

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


Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve:

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(1 + -1y + x)' equal to zero and attempt to solve:

Simplifying
1 + -1y + x = 0

Reorder the terms:
1 + x + -1y = 0

Solving
1 + x + -1y = 0

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

Add '-1' to each side of the equation.
1 + x + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + x + -1y = 0 + -1

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

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

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

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

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

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

Simplifying
0 = -1 + -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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