de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}-15y^{''}+27y^'+243y=0

Lösung

y^{^{'''}} - 15 y^{^{''}} + 27 y^{^{'}} + 243 y = 0

Lösung

y = c_{1} e^{- 3 t} + c_{2} e^{9 t} + c_{3} t e^{9 t}

Schritte zur Lösung

y^{'''} (t) - 15 y^{''} (t) + 27 y^{'} (t) + 243 y = 0

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{9 t} + c_{3} t e^{9 t}

y = c_{1} e^{- 3 t} + c_{2} e^{9 t} + c_{3} t e^{9 t}

Graph

Beliebte Beispiele

2x^{''}+2x^'+3x=0

2 x^{^{''}} + 2 x^{^{'}} + 3 x = 0

3y^{''}+2y^'+4y^{''}+y=0

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

y^{^{''}} = y^{^{'}} - 2 y

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

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

y^{''''}-7y^{'''}+12y^{''}=0

y^{^{''''}} - 7 y^{^{'''}} + 12 y^{^{''}} = 0