de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

3y^{'''}-5y^{''}-16y^'+12y=0

Lösung

3 y^{^{'''}} - 5 y^{^{''}} - 16 y^{^{'}} + 12 y = 0

Lösung

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

Schritte zur Lösung

3 y^{'''} (t) - 5 y^{''} (t) - 16 y^{'} (t) + 12 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y^'+4.25y=0,y(0)=5

y^{^{''}} + y^{^{'}} + 4.25 y = 0, y (0) = 5

y^{''}+0y^'+36y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 0 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = 0

y^{''}-12y^'+40y=0,y(0)=6,y^'(0)=-2

y^{^{''}} - 12 y^{^{'}} + 40 y = 0, y (0) = 6, y^{^{'}} (0) = - 2

y^{''''}+12y^{'''}+36y^{''}=0

y^{^{''''}} + 12 y^{^{'''}} + 36 y^{^{''}} = 0

3y^{''}+12y^'-2y=0

3 y^{^{''}} + 12 y^{^{'}} - 2 y = 0