de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+6x^'+13x=0

Lösung

x^{^{''}} + 6 x^{^{'}} + 13 x = 0

Lösung

x = e^{- 3 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

Schritte zur Lösung

x^{''} (t) + 6 x^{'} (t) + 13 x = 0

Solve linear ODE:

x = e^{- 3 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

x = e^{- 3 t} (c_{1} cos (2 t) + c_{2} sin (2 t))

Graph

Beliebte Beispiele

cy^{''}+aby^'=0

c y^{^{''}} + ab y^{^{'}} = 0

3y^{''}+35y=0,y(0)=2,y^'(0)=9

3 y^{^{''}} + 35 y = 0, y (0) = 2, y^{^{'}} (0) = 9

(D^3+D^2-2D+12)y=0

(D^{3} + D^{2} - 2 D + 12) y = 0

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

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

3 y^{^{''}} = 4 y^{^{'}}