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Beliebt Rechnen >

y^{''}-3y^'-4y=0,y(0)=1,y(0)=2

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 1, y (0) = 2

Lösung

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 0

Solve linear ODE:

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- t}

y = (1 - c_{2}) e^{4 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

y^{''}+4y^'-1y=0

y^{^{''}} + 4 y^{^{'}} - 1 y = 0

24y^{''}-14y^'-3y=0

24 y^{^{''}} - 14 y^{^{'}} - 3 y = 0

y^{''}-20y^'+96y=0

y^{^{''}} - 20 y^{^{'}} + 96 y = 0

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

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

y^{'''}-y^{''}+9y^'-145y=0,y(0)=e^{5x}

y^{^{'''}} - y^{^{''}} + 9 y^{^{'}} - 145 y = 0, y (0) = e^{5 x}