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Beliebt Rechnen >

-y^{''}+4y^'+5y=0

Lösung

- y^{^{''}} + 4 y^{^{'}} + 5 y = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-12y^'+9y=0,y(0)=1

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0, y (0) = 1

(d^3+9d^2+27d+27)y=0

(d^{3} + 9 d^{2} + 27 d + 27) y = 0

(D^{2} - D - 2) y = 0

y^{''}+5y^'-36y=0,y(0)=α,y^'(0)=-72

y^{^{''}} + 5 y^{^{'}} - 36 y = 0, y (0) = α, y^{^{'}} (0) = - 72

y^{''}-3y^'-4y=0,y(0)=1,y^'(0)=29

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 1, y^{^{'}} (0) = 29