de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} + c_{3} cos (2 t) + c_{4} sin (2 t)

Schritte zur Lösung

y^{(4)} (t) + y^{''} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} + c_{3} cos (2 t) + c_{4} sin (2 t)

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} + c_{3} cos (2 t) + c_{4} sin (2 t)

Graph

Beliebte Beispiele

y^{^{''}} - 225 y = 0

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

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

2 x^{^{''}} + 10 x = 0

2y^{'''}-6y^{''}=0

2 y^{^{'''}} - 6 y^{^{''}} = 0

y^{''}+6y^'+13y=0,y(0)=-3,y^'(0)= 1/3

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = - 3, y^{^{'}} (0) = \frac{1}{3}