What is the solution for y^{'''}-3y^'-2y=2x+1 ?

The solution for y^{'''}-3y^'-2y=2x+1 is y=c_{1}e^{2x}+c_{2}e^{-x}+c_{3}xe^{-x}-x+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{'''}-3y^'-2y=2x+1

y^{^{'''}} - 3 y^{^{'}} - 2 y = 2 x + 1

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

Solution steps

y^{'''} (x) - 3 y^{'} (x) - 2 y = 2 x + 1

Solve linear ODE:

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

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

y^{^{''}} + 4 y^{^{'}} + 3 y = x

y^{^{'''}} - 2 y^{^{''}} - 4 y^{^{'}} + 8 y = e^{2 x}

y^{^{''}} + 2 y^{^{'}} + y = 1, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 3 y^{^{'}} + 2 y = x e^{x}

y^{^{''}} - 4 y^{^{'}} - 21 y = 480 e^{- t}

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