What is the solution for (d^2y)/(dx^2)+14(dy)/(dx)+98y=0 ?

The solution for (d^2y)/(dx^2)+14(dy)/(dx)+98y=0 is y=e^{-7x}(c_{1}cos(7x)+c_{2}sin(7x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dx^2)+14(dy)/(dx)+98y=0

\frac{d ^{2} y}{d x ^{2}} + 14 \frac{d y}{d x} + 98 y = 0

y = e^{- 7 x} (c_{1} cos (7 x) + c_{2} sin (7 x))

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 14 \frac{d y}{d x} + 98 y = 0

Solve linear ODE:

y = e^{- 7 x} (c_{1} cos (7 x) + c_{2} sin (7 x))

y = e^{- 7 x} (c_{1} cos (7 x) + c_{2} sin (7 x))

What is the solution for (d^2y)/(dx^2)+14(dy)/(dx)+98y=0 ?
The solution for (d^2y)/(dx^2)+14(dy)/(dx)+98y=0 is y=e^{-7x}(c_{1}cos(7x)+c_{2}sin(7x))