de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{7 t}{8}) + c_{2} sin (\frac{7 t}{8}))

Schritte zur Lösung

y^{''} (t) + 3 y^{''} (t) + 3 y^{'} (t) + y = 0

Solve linear ODE:

y = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{7 t}{8}) + c_{2} sin (\frac{7 t}{8}))

y = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{7 t}{8}) + c_{2} sin (\frac{7 t}{8}))

Graph

Beliebte Beispiele

y^{''}+9y=0,y(0)=5,y^'(0)=2

y^{^{''}} + 9 y = 0, y (0) = 5, y^{^{'}} (0) = 2

9y^{''}+30y=0,y(0)=8,y^'(0)=8

9 y^{^{''}} + 30 y = 0, y (0) = 8, y^{^{'}} (0) = 8

q^{''}+6q^'+9q=0

q^{^{''}} + 6 q^{^{'}} + 9 q = 0

0.1y^{''}+4y^'+250y=0

0.1 y^{^{''}} + 4 y^{^{'}} + 250 y = 0

y^{''}+4y^'+8y=0,y(0)=1,y^'(0)=1

y^{^{''}} + 4 y^{^{'}} + 8 y = 0, y (0) = 1, y^{^{'}} (0) = 1