de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = 2 e^{- t} - 2 e^{- 2 t}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = 2 e^{- t} - 2 e^{- 2 t}

y = 2 e^{- t} - 2 e^{- 2 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+16(dy)/(dx)+64y=0

\frac{d ^{2} y}{d x ^{2}} + 16 \frac{d y}{d x} + 64 y = 0

y^{''}+14y^'+64y=0,y(0)=5,y^'(0)=0

y^{^{''}} + 14 y^{^{'}} + 64 y = 0, y (0) = 5, y^{^{'}} (0) = 0

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

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

x^{^{''}} + c^{2} x = 0

x^{^{''}} - 0.5 x = 0