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Beliebt Rechnen >

y^{''}-y^'-2y=0,y(0)=8

Lösung

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = 8

Lösung

y = (8 - c_{2}) e^{2 t} + c_{2} e^{- t}

Schritte zur Lösung

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

Solve linear ODE:

y = (8 - c_{2}) e^{2 t} + c_{2} e^{- t}

y = (8 - c_{2}) e^{2 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

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

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

y^{''}-y^'-2y=0,y(0)=5

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = 5

36y^{''}-36y^'+13y=0

36 y^{^{''}} - 36 y^{^{'}} + 13 y = 0

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

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

y^{''}+24y^'-10y=0

y^{^{''}} + 24 y^{^{'}} - 10 y = 0