de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + 2 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2y^{''}+4y^'-10y=0

2 y^{^{''}} + 4 y^{^{'}} - 10 y = 0

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

1/4 x^{''}-x=0,x(0)=1,x^'(0)=5

\frac{1}{4} x^{^{''}} - x = 0, x (0) = 1, x^{^{'}} (0) = 5

4x^{''}+15x^'+14x=0

4 x^{^{''}} + 15 x^{^{'}} + 14 x = 0

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

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