What is the solution for (d^2y)/(dt^2)+4(dy)/(dt)-5y=4 ?

The solution for (d^2y)/(dt^2)+4(dy)/(dt)-5y=4 is y=c_{1}e^t+c_{2}e^{-5t}-4/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dt^2)+4(dy)/(dt)-5y=4

\frac{d ^{2} y}{d t ^{2}} + 4 \frac{d y}{d t} - 5 y = 4

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

Solution steps

\frac{d ^{2} y}{d t ^{2}} + 4 \frac{d y}{d t} - 5 y = 4

Solve linear ODE:

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

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

What is the solution for (d^2y)/(dt^2)+4(dy)/(dt)-5y=4 ?
The solution for (d^2y)/(dt^2)+4(dy)/(dt)-5y=4 is y=c_{1}e^t+c_{2}e^{-5t}-4/5