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Beliebt Rechnen >

2y^{''}+4y^'+8y=0,y(0)=5,y^'(0)=0

Lösung

2 \cdot y^{^{''}} + 4 \cdot y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

Lösung

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

Schritte zur Lösung

2 \cdot y^{''} (t) + 4 \cdot y^{'} (t) + 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

5(d^2y)/(dx^2)+(dy)/(dx)-6y=0

5 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0

-cy^{''}+aby^'=0,y(0)=1,y(1.2)=0

- c y^{^{''}} + ab y^{^{'}} = 0, y (0) = 1, y (1.2) = 0

y^{^{''}} - 729 y = 0

5y^{''}+3y^'+6y=0

5 y^{^{''}} + 3 y^{^{'}} + 6 y = 0