What is the solution for y^{''}+10y^'+16y=949sin(3t) ?

The solution for y^{''}+10y^'+16y=949sin(3t) is y=c_{1}e^{-2t}+c_{2}e^{-8t}+7sin(3t)-30cos(3t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+10y^'+16y=949sin(3t)

y^{^{''}} + 10 y^{^{'}} + 16 y = 949 sin (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 7 sin (3 t) - 30 cos (3 t)

Solution steps

y^{''} (t) + 10 y^{'} (t) + 16 y = 949 sin (3 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 7 sin (3 t) - 30 cos (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 7 sin (3 t) - 30 cos (3 t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 10 cos (x)

y^{^{''}} - y = e^{t} (2 t + 5)

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} - 2 y = - 6 e^{x} + 10 cos (x)

y^{^{''}} + 6 y^{^{'}} + 9 y = 6 x e^{- 3 x} + 9 + 50 sin (x)

y^{^{''}} + 2 y^{^{'}} - 3 y = 2 cos (3 x)

What is the solution for y^{''}+10y^'+16y=949sin(3t) ?
The solution for y^{''}+10y^'+16y=949sin(3t) is y=c_{1}e^{-2t}+c_{2}e^{-8t}+7sin(3t)-30cos(3t)