What is the solution for 10y^{''}+1000y=130cos(8t) ?

The solution for 10y^{''}+1000y=130cos(8t) is y=c_{1}cos(10t)+c_{2}sin(10t)+13/36 cos(8t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10y^{''}+1000y=130cos(8t)

10 y^{^{''}} + 1000 y = 130 cos (8 t)

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{13}{36} cos (8 t)

Solution steps

10 y^{''} (t) + 1000 y = 130 cos (8 t)

Solve linear ODE:

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{13}{36} cos (8 t)

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{13}{36} cos (8 t)

\frac{3}{( s - 3 ) ^{3}}

\int e^{2 x} (1 - 5 e^{2 x})^{2} d x

\frac{\partial}{\partial x} (e^{- 2 x^{2} - 3 y^{2}})

\int 9 x^{3} (x^{3} + 2 x^{2} + x + 8) d x

x \to 4 - lim (c x^{2} + 7 x)

What is the solution for 10y^{''}+1000y=130cos(8t) ?
The solution for 10y^{''}+1000y=130cos(8t) is y=c_{1}cos(10t)+c_{2}sin(10t)+13/36 cos(8t)