Udx+(1-3u)x*du=3u^2*e^3u*du

Simple and best practice solution for Udx+(1-3u)x*du=3u^2*e^3u*du equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for Udx+(1-3u)x*du=3u^2*e^3u*du equation: 


Simplifying
Udx + (1 + -3u) * x * du = 3u2 * e3u * du

Reorder the terms for easier multiplication:
dxU + x * du(1 + -3u) = 3u2 * e3u * du

Multiply x * du
dxU + dux(1 + -3u) = 3u2 * e3u * du
dxU + (1 * dux + -3u * dux) = 3u2 * e3u * du
dxU + (1dux + -3du2x) = 3u2 * e3u * du

Reorder the terms:
1dux + -3du2x + dxU = 3u2 * e3u * du

Multiply u2 * e3u
1dux + -3du2x + dxU = 3e3u3 * du

Multiply e3u3 * du
1dux + -3du2x + dxU = 3de3u4

Solving
1dux + -3du2x + dxU = 3de3u4

Solving for variable 'd'.

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

Add '-3de3u4' to each side of the equation.
1dux + -3du2x + -3de3u4 + dxU = 3de3u4 + -3de3u4

Reorder the terms:
-3de3u4 + 1dux + -3du2x + dxU = 3de3u4 + -3de3u4

Combine like terms: 3de3u4 + -3de3u4 = 0
-3de3u4 + 1dux + -3du2x + dxU = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-3e3u4 + ux + -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 '(-3e3u4 + ux + -3u2x + xU)' equal to zero and attempt to solve:

Simplifying
-3e3u4 + ux + -3u2x + xU = 0

Solving
-3e3u4 + ux + -3u2x + xU = 0

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

Add '3e3u4' to each side of the equation.
-3e3u4 + ux + -3u2x + 3e3u4 + xU = 0 + 3e3u4

Reorder the terms:
-3e3u4 + 3e3u4 + ux + -3u2x + xU = 0 + 3e3u4

Combine like terms: -3e3u4 + 3e3u4 = 0
0 + ux + -3u2x + xU = 0 + 3e3u4
ux + -3u2x + xU = 0 + 3e3u4
Remove the zero:
ux + -3u2x + xU = 3e3u4

Add '-1ux' to each side of the equation.
ux + -3u2x + -1ux + xU = 3e3u4 + -1ux

Reorder the terms:
ux + -1ux + -3u2x + xU = 3e3u4 + -1ux

Combine like terms: ux + -1ux = 0
0 + -3u2x + xU = 3e3u4 + -1ux
-3u2x + xU = 3e3u4 + -1ux

Add '3u2x' to each side of the equation.
-3u2x + 3u2x + xU = 3e3u4 + -1ux + 3u2x

Combine like terms: -3u2x + 3u2x = 0
0 + xU = 3e3u4 + -1ux + 3u2x
xU = 3e3u4 + -1ux + 3u2x

Add '-1xU' to each side of the equation.
xU + -1xU = 3e3u4 + -1ux + 3u2x + -1xU

Combine like terms: xU + -1xU = 0
0 = 3e3u4 + -1ux + 3u2x + -1xU

Simplifying
0 = 3e3u4 + -1ux + 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}

See similar equations:

| (d+9)/3=-9 | | -11=7x+8+2 | | -4(x+8)+3=-29 | | 7mn*4m^2n= | | 3a+(7a+4)+(2a-4)=180 | | c+1=11 | | 3x+25x-2=7(4x+9) | | -30q=q-10+11q | | y-x-z=0 | | 4n+7+2=21 | | 3x-3+2x+9=2x+2x-1 | | X^2-21-4x=0 | | -8+2(4+8b)=128 | | 6v+2=3 | | 4-d=-d(-4) | | 10y=9x+5 | | (4x+2)=(3x+4) | | X+20=78-35 | | 8x+11=2[4x-7]+25 | | 10y=9x-5 | | 5r+3(7r+6)=226 | | 7x-5=-11+6x | | 23=b+-45 | | 4x=38-2[x+4] | | Z-9=34 | | x+2y-5x-3y= | | -35=g+-92 | | 8p+2= | | 7y-10=24 | | 42=y+-48 | | 108=-3(-5x-6) | | 3p+9+p-2= |

Equations solver categories