What is the solution for y^{''}+5y^'+6y=8e^{5t} ?

The solution for y^{''}+5y^'+6y=8e^{5t} is y=c_{1}e^{-2t}+c_{2}e^{-3t}+1/7 e^{5t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+5y^'+6y=8e^{5t}

y^{^{''}} + 5 y^{^{'}} + 6 y = 8 e^{5 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{7} e^{5 t}

Solution steps

y^{''} (t) + 5 y^{'} (t) + 6 y = 8 e^{5 t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{7} e^{5 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{7} e^{5 t}

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 6 t

d, d (t) = \frac{( 1 + 16 t ^{2} )}{( 4 t ) ^{3}}

y^{^{''}} - 4 y = 4 t - 8 e^{- 2 t}, y (0) = 0, y^{^{'}} (0) = 5

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

y^{^{''}} - 6 y^{^{'}} + 5 y = e^{- 3 x}

What is the solution for y^{''}+5y^'+6y=8e^{5t} ?
The solution for y^{''}+5y^'+6y=8e^{5t} is y=c_{1}e^{-2t}+c_{2}e^{-3t}+1/7 e^{5t}