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Beliebt Rechnen >

y^{''}+4y^'-5y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 - \frac{1}{6}) e^{t} + \frac{1}{6} e^{- 5 t}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 - \frac{1}{6}) e^{t} + \frac{1}{6} e^{- 5 t}

y = (1 - \frac{1}{6}) e^{t} + \frac{1}{6} e^{- 5 t}

Graph

Beliebte Beispiele

y^{''}=7y^'-12y

y^{^{''}} = 7 y^{^{'}} - 12 y

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

x^{''}+x^'+3x=0,x(0)=1,x^'(0)=2

x^{^{''}} + x^{^{'}} + 3 x = 0, x (0) = 1, x^{^{'}} (0) = 2

y^{''''}-8y^{'''}=0

y^{^{''''}} - 8 y^{^{'''}} = 0

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

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