de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

36y^{'''}+60y^{''}+25y^'=0

Lösung

36 y^{^{'''}} + 60 y^{^{''}} + 25 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{5 t}{6}} + c_{3} e^{- \frac{5 t}{6}} t

Schritte zur Lösung

36 y^{'''} (t) + 60 y^{''} (t) + 25 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{5 t}{6}} + c_{3} e^{- \frac{5 t}{6}} t

y = c_{1} + c_{2} e^{- \frac{5 t}{6}} + c_{3} e^{- \frac{5 t}{6}} t

Graph

Beliebte Beispiele

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

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

y^{''}+y=0,y(pi/2)=0,y(0)=1

y^{^{''}} + y = 0, y (\frac{π}{2}) = 0, y (0) = 1

y^{'''}+3y^{''}-22y^'-24y=0

y^{^{'''}} + 3 y^{^{''}} - 22 y^{^{'}} - 24 y = 0

2y^{''''}+3y^{'''}+2y^{''}+6y^'-4y=0

2 y^{^{''''}} + 3 y^{^{'''}} + 2 y^{^{''}} + 6 y^{^{'}} - 4 y = 0

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=3

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3