What is the solution for (d^2y)/(dx^2)+81y=0 ?

The solution for (d^2y)/(dx^2)+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

Popular >

(d^2y)/(dx^2)+81y=0

\frac{d ^{2} y}{d x ^{2}} + 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)

y^{^{''}} + 7 y^{^{'}} = 0

16 y^{^{''}} - 8 y^{^{'}} + 145 y = 0, y (0) = - 2, y^{^{'}} (0) = 1

(D^{5} - 2 D^{3} - 2 D^{2} - 3 D - 2) y = 0

y^{^{'''}} - 3 y^{^{''}} - y^{^{'}} + 3 y = 0

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 3

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