de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+8x^'+80x=0

Lösung

x^{^{''}} + 8 x^{^{'}} + 80 x = 0

Lösung

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

Schritte zur Lösung

x^{''} (t) + 8 x^{'} (t) + 80 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=0,y(-1)=5,y^'(-1)=4

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (- 1) = 5, y^{^{'}} (- 1) = 4

r^{''}-4r^'-53r=0

r^{^{''}} - 4 r^{^{'}} - 53 r = 0

(D^3+2D^2+D+2)y=0

(D^{3} + 2 D^{2} + D + 2) y = 0

y^{''''}-4y^{'''}+2y^{''}+4y^'-3y=0

y^{^{''''}} - 4 y^{^{'''}} + 2 y^{^{''}} + 4 y^{^{'}} - 3 y = 0

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

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