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Beliebt Rechnen >

2y^{''}+9y^'-5y=0

Lösung

2 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 5 t}

Schritte zur Lösung

2 y^{''} (t) + 9 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 5 t}

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 5 t}

Graph

Beliebte Beispiele

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

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

-2y^{''}+4y^'=0

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

8x^{''}+20x^'+32x=0

8 x^{^{''}} + 20 x^{^{'}} + 32 x = 0

(D^4+18D^2+81)y=0

(D^{4} + 18 D^{2} + 81) y = 0

y^{''}+12y^'+36y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (0) = 2, y^{^{'}} (0) = 0