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Beliebt Rechnen >

y^{''}+4y^'+5y=0,y(0)=2,y(0)=-7

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 2, y (0) = - 7

Lösung

y = e^{- 2 t} (2 cos (t) + c_{2} sin (t))

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{- 2 t} (2 cos (t) + c_{2} sin (t))

y = e^{- 2 t} (2 cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

x^{''}+6x^'+3x=0

x^{^{''}} + 6 x^{^{'}} + 3 x = 0

(D^{2} + 2 D + 1) y = 0

y^{''}-8y^'+16y=0,y(1)=e^{4x}

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (1) = e^{4 x}

y^{''}-4y^'+68y=0

y^{^{''}} - 4 y^{^{'}} + 68 y = 0

y^{''}-7y^'+10y=0,y(0)=4,y^'(0)=17

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y (0) = 4, y^{^{'}} (0) = 17