What is the solution for (D^2-D-2)y=18xe^{-x} ?

The solution for (D^2-D-2)y=18xe^{-x} is y=c_{1}e^{2x}+c_{2}e^{-x}-3x^2e^{-x}-2e^{-x}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(D^2-D-2)y=18xe^{-x}

(D^{2} - D - 2) y = 18 x e^{- x}

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x^{2} e^{- x} - 2 e^{- x} x

Solution steps

(D^{2} - D - 2) y = 18 x e^{- x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x^{2} e^{- x} - 2 e^{- x} x

y = c_{1} e^{2 x} + c_{2} e^{- x} - 3 x^{2} e^{- x} - 2 e^{- x} x

y^{^{''}} - 2 y^{^{'}} + y = e^{t}, y (0) = 1, y^{^{'}} (0) = 0

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 3 e^{- t} + 3

y^{^{''}} - 8 y = - 32 x + 48

y^{^{''}} - 3 y^{^{'}} - 4 y = - 8 e^{t} \cdot cos (2 t)

x^{^{''}} + x = 1

What is the solution for (D^2-D-2)y=18xe^{-x} ?
The solution for (D^2-D-2)y=18xe^{-x} is y=c_{1}e^{2x}+c_{2}e^{-x}-3x^2e^{-x}-2e^{-x}x