de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

8y^{''}+4y^'+y=0

Lösung

8 y^{^{''}} + 4 y^{^{'}} + y = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-12y^'+32y=0

y^{^{''}} - 12 y^{^{'}} + 32 y = 0

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

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

3y^{'''}+5y^{''}+10y^'-4y=0

3 y^{^{'''}} + 5 y^{^{''}} + 10 y^{^{'}} - 4 y = 0

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

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

y^{'''}+5y^{''}+8y^'+4y=0

y^{^{'''}} + 5 y^{^{''}} + 8 y^{^{'}} + 4 y = 0