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Beliebt Rechnen >

18y^{''}+(45-2sqrt(7))y^'-5sqrt(7)y=0

Lösung

18 y^{^{''}} + (45 - 27) y^{^{'}} - 57 y = 0

Lösung

y = c_{1} e^{\frac{7 t}{9}} + c_{2} e^{- \frac{5 t}{2}}

Schritte zur Lösung

18 y^{''} (t) + (45 - 27) y^{'} (t) - 57 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{7 t}{9}} + c_{2} e^{- \frac{5 t}{2}}

y = c_{1} e^{\frac{7 t}{9}} + c_{2} e^{- \frac{5 t}{2}}

Graph

Beliebte Beispiele

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

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

y^{''''}-20y^{'''}+100y^{''}=0

y^{^{''''}} - 20 y^{^{'''}} + 100 y^{^{''}} = 0

81y^{''}-9y=0,y(0)=0,y^'(0)=0

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

9y^{''}+4y^'-5y=0

9 y^{^{''}} + 4 y^{^{'}} - 5 y = 0

y^{''}+(3-a)y^'-2(a-1)y=0

y^{^{''}} + (3 - a) y^{^{'}} - 2 (a - 1) y = 0