de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+18y^'+82y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 18 y^{^{'}} + 82 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = e^{- 9 t} (cos (t) + 9 sin (t))

Schritte zur Lösung

y^{''} (t) + 18 y^{'} (t) + 82 y = 0

Solve linear ODE:

y = e^{- 9 t} (cos (t) + 9 sin (t))

y = e^{- 9 t} (cos (t) + 9 sin (t))

Graph

Beliebte Beispiele

y^{''''}-6y^{'''}+13y^{''}-12y^'+4y=0

y^{^{''''}} - 6 y^{^{'''}} + 13 y^{^{''}} - 12 y^{^{'}} + 4 y = 0

2y^{'''}-y^{''}-y^'=0

2 y^{^{'''}} - y^{^{''}} - y^{^{'}} = 0

7y^{''}-56y^'+112y=0

7 y^{^{''}} - 56 y^{^{'}} + 112 y = 0

y^{''}-5y^'+2y=0

y^{^{''}} - 5 y^{^{'}} + 2 y = 0

y^{''}-y^'+0.25y=0,y(0)=2,y^'(0)= 1/3

y^{^{''}} - y^{^{'}} + 0.25 y = 0, y (0) = 2, y^{^{'}} (0) = \frac{1}{3}