solve(D^2-3D-10)y=e^5x

Simple and best practice solution for solve(D^2-3D-10)y=e^5x 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 solve(D^2-3D-10)y=e^5x equation: 


Simplifying
solve(D2 + -3D + -10) * y = e5x

Reorder the terms:
elosv(-10 + -3D + D2) * y = e5x

Reorder the terms for easier multiplication:
elosv * y(-10 + -3D + D2) = e5x

Multiply elosv * y
elosvy(-10 + -3D + D2) = e5x
(-10 * elosvy + -3D * elosvy + D2 * elosvy) = e5x
(-10elosvy + -3elosvyD + elosvyD2) = e5x

Solving
-10elosvy + -3elosvyD + elosvyD2 = e5x

Solving for variable 'e'.

Combine like terms: e5x + -1e5x = 0
-10elosvy + -3elosvyD + elosvyD2 + -1e5x = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-10losvy + -3losvyD + losvyD2 + -1e4x) = 0


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

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0

Subproblem 2
Set the factor '(-10losvy + -3losvyD + losvyD2 + -1e4x)' equal to zero and attempt to solve:

Simplifying
-10losvy + -3losvyD + losvyD2 + -1e4x = 0

Reorder the terms:
-1e4x + -10losvy + -3losvyD + losvyD2 = 0

Solving
-1e4x + -10losvy + -3losvyD + losvyD2 = 0

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

Add '10losvy' to each side of the equation.
-1e4x + -10losvy + -3losvyD + 10losvy + losvyD2 = 0 + 10losvy

Reorder the terms:
-1e4x + -10losvy + 10losvy + -3losvyD + losvyD2 = 0 + 10losvy

Combine like terms: -10losvy + 10losvy = 0
-1e4x + 0 + -3losvyD + losvyD2 = 0 + 10losvy
-1e4x + -3losvyD + losvyD2 = 0 + 10losvy
Remove the zero:
-1e4x + -3losvyD + losvyD2 = 10losvy

Add '3losvyD' to each side of the equation.
-1e4x + -3losvyD + 3losvyD + losvyD2 = 10losvy + 3losvyD

Combine like terms: -3losvyD + 3losvyD = 0
-1e4x + 0 + losvyD2 = 10losvy + 3losvyD
-1e4x + losvyD2 = 10losvy + 3losvyD

Add '-1losvyD2' to each side of the equation.
-1e4x + losvyD2 + -1losvyD2 = 10losvy + 3losvyD + -1losvyD2

Combine like terms: losvyD2 + -1losvyD2 = 0
-1e4x + 0 = 10losvy + 3losvyD + -1losvyD2
-1e4x = 10losvy + 3losvyD + -1losvyD2

Divide each side by '-1x'.
e4 = -10losvx-1y + -3losvx-1yD + losvx-1yD2

Simplifying
e4 = -10losvx-1y + -3losvx-1yD + losvx-1yD2

The solution to this equation could not be determined.

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

See similar equations:

| solve(D^2+4)y=x^2 | | 51/4x51/4 | | solve(D^2+4D+6)y=0 | | solveyp^2-(x-y^2)p-xy=0 | | 4x-5=19x+2 | | x+13x=3/5 | | 20x^2-6x-17=0 | | 7-3*6=3(3-6)-2 | | 2.05x+0.85(14-x)=19.10 | | -105+(-14)+34= | | 5+1334552= | | (10a+120-5a)/2=(7a-30)/10 | | 3x+y=6fory | | 2a+10=100 | | x^2+3x-10=7 | | 3n/5+9=27 | | 300-15p=50+10p | | -(9-3x)-(4+2x)-4=-(-2+5x)-x | | (2x)(2y)= | | y=6x+270 | | 5(x-3)+71=2x | | 2a+5a-7a= | | 4/7a+a+a=180 | | -8n-19=-2(8n-3)+3n | | 12+5x=7x+3 | | y+x/2+1=0 | | y-(2/3)x-1=0 | | S/7-11=18 | | 21x+56b-12y+8a= | | 6x^2=27x-27 | | -x^2+22x+13=0 | | xln(2x)-5x=0 |

Equations solver categories