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(pi)=7,y(0)=8

Lösung

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (π) = 7, y (0) = 8

Lösung

y = e^{- 2 t} (7 e^{2 π} cos (4 t) + c_{2} sin (4 t))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- 2 t} (7 e^{2 π} cos (4 t) + c_{2} sin (4 t))

y = e^{- 2 t} (7 e^{2 π} cos (4 t) + c_{2} sin (4 t))

Graph

Beliebte Beispiele

y \cdot u^{2} - y^{^{''}} = 0

2y^{''}+3y^'-2y=0,y(0)=1,y^'(0)=7

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 7

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

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

5y^{''}+9y^'-14y=0

5 y^{^{''}} + 9 y^{^{'}} - 14 y = 0

y^{''}-2y^'+8y=0,y^'(0)=-6

y^{^{''}} - 2 y^{^{'}} + 8 y = 0, y^{^{'}} (0) = - 6