What is the solution for derivative of (dy/(dx))+81y=0 ?

The solution for derivative of (dy/(dx))+81y=0 is y=c_{1}cos(9x)+c_{2}sin(9x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of (dy/(dx))+81y=0

\frac{d}{d x} (\frac{d y}{d x}) + 81 y = 0

y = c_{1} cos (9 x) + c_{2} sin (9 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 81 y = 0

Solve linear ODE:

y = c_{1} cos (9 x) + c_{2} sin (9 x)

y = c_{1} cos (9 x) + c_{2} sin (9 x)

What is the solution for derivative of (dy/(dx))+81y=0 ?
The solution for derivative of (dy/(dx))+81y=0 is y=c_{1}cos(9x)+c_{2}sin(9x)