What is the solution for y^{''}+14y^'+49y=t^{-2}e^{-7t} ?

The solution for y^{''}+14y^'+49y=t^{-2}e^{-7t} is y=c_{1}e^{-7t}+c_{2}te^{-7t}-e^{-7t}ln(t)-e^{-7t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+14y^'+49y=t^{-2}e^{-7t}

y^{^{''}} + 14 y^{^{'}} + 49 y = t^{- 2} e^{- 7 t}

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

Solution steps

y^{''} (t) + 14 y^{'} (t) + 49 y = t^{- 2} e^{- 7 t}

Solve linear ODE:

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

\int (z + 2)^{2} d z

\frac{d}{d x} (cos (2^{x} \cdot x^{5}))

\frac{d}{d x} (9 + 9 - x)

\int (15 x + 2) d x

x \to - 3 + lim (8 x + 5)

What is the solution for y^{''}+14y^'+49y=t^{-2}e^{-7t} ?
The solution for y^{''}+14y^'+49y=t^{-2}e^{-7t} is y=c_{1}e^{-7t}+c_{2}te^{-7t}-e^{-7t}ln(t)-e^{-7t}