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Beliebt Rechnen >

2y^{''}-y^'-3y=0,y(0)=2,y^'(0)=-7/2

Lösung

2 y^{^{''}} - y^{^{'}} - 3 y = 0, y (0) = 2, y^{^{'}} (0) = - \frac{7}{2}

Lösung

y = (2 - \frac{13}{5}) e^{\frac{3 t}{2}} + \frac{13}{5} e^{- t}

Schritte zur Lösung

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

Solve linear ODE:

y = (2 - \frac{13}{5}) e^{\frac{3 t}{2}} + \frac{13}{5} e^{- t}

y = (2 - \frac{13}{5}) e^{\frac{3 t}{2}} + \frac{13}{5} e^{- t}

Graph

Beliebte Beispiele

81y^{''}+108y^'-13y=0,y(0)=0,y^'(0)=1

81 y^{^{''}} + 108 y^{^{'}} - 13 y = 0, y (0) = 0, y^{^{'}} (0) = 1

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

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

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