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Beliebt Rechnen >

y^{''}+20y^'+92y=0

Lösung

y^{^{''}} + 20 y^{^{'}} + 92 y = 0

Lösung

y = c_{1} e^{2 (2 - 5) t} + c_{2} e^{- 2 (5 + 2) t}

Schritte zur Lösung

y^{''} (t) + 20 y^{'} (t) + 92 y = 0

Solve linear ODE:

y = c_{1} e^{2 (2 - 5) t} + c_{2} e^{- 2 (5 + 2) t}

y = c_{1} e^{2 (2 - 5) t} + c_{2} e^{- 2 (5 + 2) t}

Graph

Beliebte Beispiele

33y^{''''}+23y^{''}+4y=0

33 y^{^{''''}} + 23 y^{^{''}} + 4 y = 0

y^{''''}-5y^{'''}+6y^{''}+4y^'-8y=0

y^{^{''''}} - 5 y^{^{'''}} + 6 y^{^{''}} + 4 y^{^{'}} - 8 y = 0

y^{''}-10y^'+25y=0,y(0)=-3,y^'(0)=-68/5

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = - \frac{68}{5}

y^{''}+y^'+y2=0

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

49y^{''}-70y^'+25y=0

49 y^{^{''}} - 70 y^{^{'}} + 25 y = 0