de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+8x^'+16x=4sin(4t)

Lösung

x^{^{''}} + 8 x^{^{'}} + 16 x = 4 sin (4 t)

Lösung

x = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} - \frac{1}{8} cos (4 t)

Schritte zur Lösung

x^{''} (t) + 8 x^{'} (t) + 16 x = 4 sin (4 t)

Solve linear ODE:

x = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} - \frac{1}{8} cos (4 t)

x = c_{1} e^{- 4 t} + c_{2} t e^{- 4 t} - \frac{1}{8} cos (4 t)

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=t,y(0)=0,y(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = t, y (0) = 0, y (0) = 1

y^{''}-2y^'-3y=3x-4

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 x - 4

y^{''}+2y^'=2x+5+e^{-2x}

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 + e^{- 2 x}

y^{'''}-4y^'=te^{-2t}+3cos(2t)

y^{^{'''}} - 4 y^{^{'}} = t e^{- 2 t} + 3 cos (2 t)

y^{''}+y^'=-8e^{-x}-4

y^{^{''}} + y^{^{'}} = - 8 e^{- x} - 4