de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''''}=81y

Lösung

y^{^{''''}} = 81 y

Lösung

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

Schritte zur Lösung

y^{(4)} (t) = 81 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

9y^{''}+12y^'+29y=0,y(0)=1,y^'(1)=3

9 y^{^{''}} + 12 y^{^{'}} + 29 y = 0, y (0) = 1, y^{^{'}} (1) = 3

f^{''}(t)+f(t)=0

f^{^{''}} (t) + f (t) = 0

y^{''}-6y^'=0,y(0)=5-5e^6,y(1)=0

y^{^{''}} - 6 y^{^{'}} = 0, y (0) = 5 - 5 e^{6}, y (1) = 0

y^{''}-8y^'+5y=0

y^{^{''}} - 8 y^{^{'}} + 5 y = 0

1x^{''}+6x^'-1x=0

1 x^{^{''}} + 6 x^{^{'}} - 1 x = 0