What is the solution for y^{''}+14y^'+50y=371cos(t) ?

The solution for y^{''}+14y^'+50y=371cos(t) is y=e^{-7t}(c_{1}cos(t)+c_{2}sin(t))+2sin(t)+7cos(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+14y^'+50y=371cos(t)

y^{^{''}} + 14 y^{^{'}} + 50 y = 371 cos (t)

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

Solution steps

y^{''} (t) + 14 y^{'} (t) + 50 y = 371 cos (t)

Solve linear ODE:

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

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

y^{^{''}} - 4 y^{^{'}} + 4 y = sin (3 x) e^{2 x}

\frac{d ^{3} x}{d t ^{3}} + x = \frac{1}{2} t^{2} e^{t}

y^{^{''}} - 9 y^{^{'}} + 14 y = 3 x^{2} - 5 sin (2 x) + 7 x e^{6 x}

y^{^{''}} + y^{^{'}} + 2 y = x + 3

y^{^{''}} - 2 y^{^{'}} - 8 y = 2 cos (2 x) + (3 x + 2) e^{- 2 x}

What is the solution for y^{''}+14y^'+50y=371cos(t) ?
The solution for y^{''}+14y^'+50y=371cos(t) is y=e^{-7t}(c_{1}cos(t)+c_{2}sin(t))+2sin(t)+7cos(t)