(D^3-7D-6)y=e^2x(1+x)

Simple and best practice solution for (D^3-7D-6)y=e^2x(1+x) 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 (D^3-7D-6)y=e^2x(1+x) equation: 


Simplifying
(D3 + -7D + -6) * y = e2x(1 + x)

Reorder the terms:
(-6 + -7D + D3) * y = e2x(1 + x)

Reorder the terms for easier multiplication:
y(-6 + -7D + D3) = e2x(1 + x)
(-6 * y + -7D * y + D3 * y) = e2x(1 + x)
(-6y + -7yD + yD3) = e2x(1 + x)
-6y + -7yD + yD3 = (1 * e2x + x * e2x)
-6y + -7yD + yD3 = (1e2x + e2x2)

Solving
-6y + -7yD + yD3 = 1e2x + e2x2

Solving for variable 'y'.

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

Reorder the terms:
-1e2x + -1e2x2 + -6y + -7yD + yD3 = 1e2x + e2x2 + -1e2x + -1e2x2

Reorder the terms:
-1e2x + -1e2x2 + -6y + -7yD + yD3 = 1e2x + -1e2x + e2x2 + -1e2x2

Combine like terms: 1e2x + -1e2x = 0
-1e2x + -1e2x2 + -6y + -7yD + yD3 = 0 + e2x2 + -1e2x2
-1e2x + -1e2x2 + -6y + -7yD + yD3 = e2x2 + -1e2x2

Combine like terms: e2x2 + -1e2x2 = 0
-1e2x + -1e2x2 + -6y + -7yD + yD3 = 0

The solution to this equation could not be determined.

See similar equations:

| m+4n=2n+8m | | 12x-3=11x+3 | | ax-5a=3x-ax | | 3x-9=-9+5x | | 50(x+10)=700 | | -x+7=-2x+1 | | 3n+9n=56 | | X/4-2/3=5x/12 | | 3/5=2/3x | | 3/5=2/2x | | cos6x=1/2 | | X^2+18x+72x= | | y=3Inx+4 | | 9/100×y | | 9/100×x | | 2(x-7)=9-10 | | 2=8-3v | | 3a^2+20a+3b^2+12=0 | | 17x+13y=7161 | | 2x+3y-9z+5=0 | | 17x+13y=231 | | -4x+7y+8z-6=0 | | 0.3*0.50= | | 28x^2-12x=1 | | 21x^2-10x=-1 | | 3(4x-6)=4x+6 | | (2xy^3-2x^3y^3-4xy^2+2x)dx+(3x^2y^2+4y)dy=0 | | 28x^2-12x=-1 | | 100-0.2*475=x | | 100-0.2x=10 | | 100-0.2x=15 | | 100+0.2x=15 |

Equations solver categories