Udx+(1-3u)xdu=3ud*u

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Solution for Udx+(1-3u)xdu=3ud*u equation: 


Simplifying
Udx + (1 + -3u) * xdu = 3ud * u

Reorder the terms for easier multiplication:
dxU + dux(1 + -3u) = 3ud * u
dxU + (1 * dux + -3u * dux) = 3ud * u
dxU + (1dux + -3du2x) = 3ud * u

Reorder the terms:
1dux + -3du2x + dxU = 3ud * u

Multiply du * u
1dux + -3du2x + dxU = 3du2

Solving
1dux + -3du2x + dxU = 3du2

Solving for variable 'd'.

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

Add '-3du2' to each side of the equation.
1dux + -3du2x + -3du2 + dxU = 3du2 + -3du2

Reorder the terms:
1dux + -3du2 + -3du2x + dxU = 3du2 + -3du2

Combine like terms: 3du2 + -3du2 = 0
1dux + -3du2 + -3du2x + dxU = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(ux + -3u2 + -3u2x + xU) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(ux + -3u2 + -3u2x + xU)' equal to zero and attempt to solve:

Simplifying
ux + -3u2 + -3u2x + xU = 0

Solving
ux + -3u2 + -3u2x + xU = 0

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

Add '-1ux' to each side of the equation.
ux + -3u2 + -3u2x + -1ux + xU = 0 + -1ux

Reorder the terms:
ux + -1ux + -3u2 + -3u2x + xU = 0 + -1ux

Combine like terms: ux + -1ux = 0
0 + -3u2 + -3u2x + xU = 0 + -1ux
-3u2 + -3u2x + xU = 0 + -1ux
Remove the zero:
-3u2 + -3u2x + xU = -1ux

Add '3u2' to each side of the equation.
-3u2 + -3u2x + 3u2 + xU = -1ux + 3u2

Reorder the terms:
-3u2 + 3u2 + -3u2x + xU = -1ux + 3u2

Combine like terms: -3u2 + 3u2 = 0
0 + -3u2x + xU = -1ux + 3u2
-3u2x + xU = -1ux + 3u2

Add '3u2x' to each side of the equation.
-3u2x + 3u2x + xU = -1ux + 3u2 + 3u2x

Combine like terms: -3u2x + 3u2x = 0
0 + xU = -1ux + 3u2 + 3u2x
xU = -1ux + 3u2 + 3u2x

Add '-1xU' to each side of the equation.
xU + -1xU = -1ux + 3u2 + 3u2x + -1xU

Combine like terms: xU + -1xU = 0
0 = -1ux + 3u2 + 3u2x + -1xU

Simplifying
0 = -1ux + 3u2 + 3u2x + -1xU

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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