de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}+2y^{''}+4y^'+8y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} + 4 y^{^{'}} + 8 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) + 4 y^{'} (t) + 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-y^'-2y=0,y(0)=-2,y^'(0)=5

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = - 2, y^{^{'}} (0) = 5

y^{''}+16y=0,y(0)=2,y^'(0)=8

y^{^{''}} + 16 y = 0, y (0) = 2, y^{^{'}} (0) = 8

2x^{''}+4x^'+10x=0

2 x^{^{''}} + 4 x^{^{'}} + 10 x = 0

4y^{''}+4y^'+4y=0

4 y^{^{''}} + 4 y^{^{'}} + 4 y = 0