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

The solution for (d^2y)/(dx^2)+2y=0 is y=c_{1}cos(sqrt(2)x)+c_{2}sin(sqrt(2)x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dx^2)+2y=0

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

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

Solution steps

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

Solve linear ODE:

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

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

What is the solution for (d^2y)/(dx^2)+2y=0 ?
The solution for (d^2y)/(dx^2)+2y=0 is y=c_{1}cos(sqrt(2)x)+c_{2}sin(sqrt(2)x)