de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y^'+20y=0,y(0)=6,y^'(0)=-11

Lösung

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (0) = 6, y^{^{'}} (0) = - 11

Lösung

y = e^{- 2 t} (6 cos (4 t) + \frac{1}{4} sin (4 t))

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 20 y = 0

Solve linear ODE:

y = e^{- 2 t} (6 cos (4 t) + \frac{1}{4} sin (4 t))

y = e^{- 2 t} (6 cos (4 t) + \frac{1}{4} sin (4 t))

Graph

Beliebte Beispiele

4y^{''}+9y=0,y(0)=0,y^'(0)=1

4 y^{^{''}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-7y^{''}+25y^'-39y=0

y^{^{'''}} - 7 y^{^{''}} + 25 y^{^{'}} - 39 y = 0

y^{''}-4y^'+3y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 1

x^{''}+16.33x=0

x^{^{''}} + 16.33 x = 0

y^{''}-18y^'+81y=0,y(0)=1,y(1)=0

y^{^{''}} - 18 y^{^{'}} + 81 y = 0, y (0) = 1, y (1) = 0