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Beliebt Rechnen >

y^{''}+6y^'+8y=0,y(0)=0,y^'(0)=-5

Lösung

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

Lösung

y = - \frac{5}{2} e^{- 2 t} + \frac{5}{2} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 8 y = 0

Solve linear ODE:

y = - \frac{5}{2} e^{- 2 t} + \frac{5}{2} e^{- 4 t}

y = - \frac{5}{2} e^{- 2 t} + \frac{5}{2} e^{- 4 t}

Graph

Beliebte Beispiele

(y^{''})/8+30y^'+500y=0

\frac{y ^{^{''}}}{8} + 30 y^{^{'}} + 500 y = 0

y^{''}-23y^'+112y=0,y(0)=3,y^'(0)=48

y^{^{''}} - 23 y^{^{'}} + 112 y = 0, y (0) = 3, y^{^{'}} (0) = 48

2 x^{^{''}} + 7 x = 0

(D^2+4D+29)^2y=0

(D^{2} + 4 D + 29)^{2} y = 0

x^{''}+2x^'+50x=0,x(0)=-3/2 ,x^'(0)=-2

x^{^{''}} + 2 x^{^{'}} + 50 x = 0, x (0) = - \frac{3}{2}, x^{^{'}} (0) = - 2