de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

4y^{''}-19y^'+12y=0,y(0)=5,y^'(0)=13.5

Lösung

4 y^{^{''}} - 19 y^{^{'}} + 12 y = 0, y (0) = 5, y^{^{'}} (0) = 13.5

Lösung

y = 3 e^{4 t} + 2 e^{\frac{3 t}{4}}

Schritte zur Lösung

4 y^{''} (t) - 19 y^{'} (t) + 12 y = 0

Solve linear ODE:

y = 3 e^{4 t} + 2 e^{\frac{3 t}{4}}

y = 3 e^{4 t} + 2 e^{\frac{3 t}{4}}

Graph

Beliebte Beispiele

y^{''}=6y^'-8y,y^'(0)=2

y^{^{''}} = 6 y^{^{'}} - 8 y, y^{^{'}} (0) = 2

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

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

5y^{''}+45y=0,y(0)=-8,y^'(0)=0

5 y^{^{''}} + 45 y = 0, y (0) = - 8, y^{^{'}} (0) = 0

4y^{''}+(16)/(0.25)y=0,y(0)=0

4 y^{^{''}} + \frac{16}{0.25} y = 0, y (0) = 0

y^{''}+3y^'-4y=0,y(0)=3,y^'(0)=2

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 3, y^{^{'}} (0) = 2