de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+12y^'+27y=0,y(0)=1,y^'(0)=-12

Lösung

y^{^{''}} + 12 y^{^{'}} + 27 y = 0, y (0) = 1, y^{^{'}} (0) = - 12

Lösung

y = (1 - \frac{3}{2}) e^{- 3 t} + \frac{3}{2} e^{- 9 t}

Schritte zur Lösung

y^{''} (t) + 12 y^{'} (t) + 27 y = 0

Solve linear ODE:

y = (1 - \frac{3}{2}) e^{- 3 t} + \frac{3}{2} e^{- 9 t}

y = (1 - \frac{3}{2}) e^{- 3 t} + \frac{3}{2} e^{- 9 t}

Graph

Beliebte Beispiele

18y^{''}+9y^'-5y=0

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

y^{''}+2y^'+5y=0,y(0)=3,y^'(0)=4

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 3, y^{^{'}} (0) = 4

y^{'''}+y^{''}-4y^'+6y=0

y^{^{'''}} + y^{^{''}} - 4 y^{^{'}} + 6 y = 0

(d^2y)/(dx^2)(1)-9y=0

\frac{d ^{2} y}{d x ^{2}} (1) - 9 y = 0

y^{'''}+3y^{''}-30y^'-50y=0

y^{^{'''}} + 3 y^{^{''}} - 30 y^{^{'}} - 50 y = 0