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Beliebt Rechnen >

5y^{''}+30y^'+45y=0,y(0)=-8,y^'(0)=0

Lösung

5 y^{^{''}} + 30 y^{^{'}} + 45 y = 0, y (0) = - 8, y^{^{'}} (0) = 0

Lösung

y = - 8 e^{- 3 t} - 24 e^{- 3 t} t

Schritte zur Lösung

5 y^{''} (t) + 30 y^{'} (t) + 45 y = 0

Solve linear ODE:

y = - 8 e^{- 3 t} - 24 e^{- 3 t} t

y = - 8 e^{- 3 t} - 24 e^{- 3 t} t

Graph

Beliebte Beispiele

y^{^{''}} - c^{2} y = 0

y^{''}-3y^'+2y=0,y(0)=1,y^'(0)= 1/2

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{1}{2}

x^{''}+(sqrt(2))/(16)x^'+2x=0

x^{^{''}} + \frac{2}{16} x^{^{'}} + 2 x = 0

y^{''}-y^'=0,y^'(0)=1,y(0)=0

y^{^{''}} - y^{^{'}} = 0, y^{^{'}} (0) = 1, y (0) = 0

x^{''}+32/2 x=0,x(0)=-1,x^'(0)=-6

x^{^{''}} + \frac{32}{2} x = 0, x (0) = - 1, x^{^{'}} (0) = - 6