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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{9}{14} e^{\frac{t}{9}} - \frac{9}{14} e^{- \frac{13 t}{9}}

Schritte zur Lösung

81 y^{''} (t) + 108 y^{'} (t) - 13 y = 0

Solve linear ODE:

y = \frac{9}{14} e^{\frac{t}{9}} - \frac{9}{14} e^{- \frac{13 t}{9}}

y = \frac{9}{14} e^{\frac{t}{9}} - \frac{9}{14} e^{- \frac{13 t}{9}}

Graph

Beliebte Beispiele

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

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

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