What is the solution for 5y^{'''}-4y^{''}-61y^'-12y=0 ?

The solution for 5y^{'''}-4y^{''}-61y^'-12y=0 is y=c_{1}e^{-3t}+c_{2}e^{-t/5}+c_{3}e^{4t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5y^{'''}-4y^{''}-61y^'-12y=0

5 y^{^{'''}} - 4 y^{^{''}} - 61 y^{^{'}} - 12 y = 0

y = c_{1} e^{- 3 t} + c_{2} e^{- \frac{t}{5}} + c_{3} e^{4 t}

Solution steps

5 y^{'''} (t) - 4 y^{''} (t) - 61 y^{'} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{- \frac{t}{5}} + c_{3} e^{4 t}

y = c_{1} e^{- 3 t} + c_{2} e^{- \frac{t}{5}} + c_{3} e^{4 t}

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} + 14 y = 0

y^{^{''}} + 6 y^{^{'}} + 16 y = 0, y (0) = 4, y^{^{'}} (0) = 0

y^{^{''}} - 2 y^{^{'}} - 8 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

y^{^{''}} + 22 y^{^{'}} + α y = 0

x^{^{''}} + a \cdot x^{^{'}} + b \cdot x = 0

What is the solution for 5y^{'''}-4y^{''}-61y^'-12y=0 ?
The solution for 5y^{'''}-4y^{''}-61y^'-12y=0 is y=c_{1}e^{-3t}+c_{2}e^{-t/5}+c_{3}e^{4t}