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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 4 t}

Schritte zur Lösung

4 y^{''} (t) + 14 y^{'} (t) - 8 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 4 t}

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

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

(2 D^{2} - 5 D - 3) y = 0

y^{^{''}} + 1960 y = 0