What is the solution for (d^2y)/(dx^2)+3(dy)/(dx)-4y=0 ?

The solution for (d^2y)/(dx^2)+3(dy)/(dx)-4y=0 is y=c_{1}e^x+c_{2}e^{-4x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dx^2)+3(dy)/(dx)-4y=0

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 4 y = 0

y = c_{1} e^{x} + c_{2} e^{- 4 x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 4 y = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 4 x}

y = c_{1} e^{x} + c_{2} e^{- 4 x}

What is the solution for (d^2y)/(dx^2)+3(dy)/(dx)-4y=0 ?
The solution for (d^2y)/(dx^2)+3(dy)/(dx)-4y=0 is y=c_{1}e^x+c_{2}e^{-4x}