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Beliebt Rechnen >

2y^{''}+10y^'+8y=0,y(0)=5,y^'(0)=0

Lösung

2 y^{^{''}} + 10 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

Lösung

y = (5 + \frac{5}{3}) e^{- t} - \frac{5}{3} e^{- 4 t}

Schritte zur Lösung

2 y^{''} (t) + 10 y^{'} (t) + 8 y = 0

Solve linear ODE:

y = (5 + \frac{5}{3}) e^{- t} - \frac{5}{3} e^{- 4 t}

y = (5 + \frac{5}{3}) e^{- t} - \frac{5}{3} e^{- 4 t}

Graph

Beliebte Beispiele

y^{''}+2y^'+10y=0,y(0)=0,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 0

x^{''}+x^'+5x=0

x^{^{''}} + x^{^{'}} + 5 x = 0

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

y^{^{''}} + \frac{y ^{^{'}}}{2} - \frac{y}{2} = 0

(d^3y)/(dx^3)-8y=0

\frac{d ^{3} y}{d x ^{3}} - 8 y = 0

3y^{''}+2y^'-8y=0,y(0)=-6,y^'(0)=-18

3 y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = - 6, y^{^{'}} (0) = - 18