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Beliebt Rechnen >

y^{''}+6y^'+5y=0,y(0)=3,y^'(0)=-44

Lösung

y^{^{''}} + 6 y^{^{'}} + 5 y = 0, y (0) = 3, y^{^{'}} (0) = - 44

Lösung

y = (3 - \frac{41}{4}) e^{- t} + \frac{41}{4} e^{- 5 t}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = (3 - \frac{41}{4}) e^{- t} + \frac{41}{4} e^{- 5 t}

y = (3 - \frac{41}{4}) e^{- t} + \frac{41}{4} e^{- 5 t}

Graph

Beliebte Beispiele

y^{''}+7y^'+16y=0

y^{^{''}} + 7 y^{^{'}} + 16 y = 0

y^{''}+αsqrt(2)y^'+2y=0

y^{^{''}} + α 2 y^{^{'}} + 2 y = 0

y^{''}-6y^'-2y=0,y(0)=1,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 1

(d^2y)/(dx^2)=-36y

\frac{d ^{2} y}{d x ^{2}} = - 36 y

y^{''}-6y^'+25y=0,y(0)=-3,y^'(0)=-1

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = - 1