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Beliebt Rechnen >

y^{''}-4y^'-5y=0,y(0)=4,y^'(0)=14

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 4, y^{^{'}} (0) = 14

Lösung

y = 3 e^{5 t} + e^{- t}

Schritte zur Lösung

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

Solve linear ODE:

y = 3 e^{5 t} + e^{- t}

y = 3 e^{5 t} + e^{- t}

Graph

Beliebte Beispiele

y^{''}+y=0,y(0)=11,y^'(0)=33

y^{^{''}} + y = 0, y (0) = 11, y^{^{'}} (0) = 33

1/20 y^{''}+3y^'+80y=0

\frac{1}{20} y^{^{''}} + 3 y^{^{'}} + 80 y = 0

y^{''}-6y^'+10y=0,y(0)=2,y^'(0)=3

y^{^{''}} - 6 y^{^{'}} + 10 y = 0, y (0) = 2, y^{^{'}} (0) = 3

7x^{''}+3x^{''}+7x=0,x(0)=-4,x^'(0)=0

7 x^{^{''}} + 3 x^{^{''}} + 7 x = 0, x (0) = - 4, x^{^{'}} (0) = 0

y^{'''}+y^{''}-56y^'=0

y^{^{'''}} + y^{^{''}} - 56 y^{^{'}} = 0