What is the solution for 2y^{'''}+3y^{''}-11y^'-6y=0 ?

The solution for 2y^{'''}+3y^{''}-11y^'-6y=0 is y=c_{1}e^{2t}+c_{2}e^{-t/2}+c_{3}e^{-3t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2y^{'''}+3y^{''}-11y^'-6y=0

2 y^{^{'''}} + 3 y^{^{''}} - 11 y^{^{'}} - 6 y = 0

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

Solution steps

2 y^{'''} (t) + 3 y^{''} (t) - 11 y^{'} (t) - 6 y = 0

Solve linear ODE:

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

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

\int \frac{24}{( 144 x ^{2} + 1 ) ^{2}} d x

\int_{0}^{9} e^{x} sin (x) d x

\int_{0}^{x} 3 t + 5 d t

e^{- t} + e^{t}

y^{^{''}} + 4 y^{^{'}} + 5 y = 5 x + 3 e^{- x}

What is the solution for 2y^{'''}+3y^{''}-11y^'-6y=0 ?
The solution for 2y^{'''}+3y^{''}-11y^'-6y=0 is y=c_{1}e^{2t}+c_{2}e^{-t/2}+c_{3}e^{-3t}