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Beliebt Rechnen >

10y^{''}+9y^'+2y^'=0

Lösung

10 y^{^{''}} + 9 y^{^{'}} + 2 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{11 t}{10}}

Schritte zur Lösung

10 y^{''} (t) + 9 y^{'} (t) + 2 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{11 t}{10}}

y = c_{1} + c_{2} e^{- \frac{11 t}{10}}

Graph

Beliebte Beispiele

0.1y^{''}+y^'+y=0

0.1 y^{^{''}} + y^{^{'}} + y = 0

4y^{''}+14y^'-8y=0

4 y^{^{''}} + 14 y^{^{'}} - 8 y = 0

x^{''}+11x+20x=0

x^{^{''}} + 11 x + 20 x = 0

y^{''}+4y^'+cy=0,y(0)=0,y^'(0)=-3

y^{^{''}} + 4 y^{^{'}} + cy = 0, y (0) = 0, y^{^{'}} (0) = - 3

2y^{''}+16y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 16 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0