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Beliebt Rechnen >

y^{'''}+y^{''}-30y^'=0

Lösung

y^{^{'''}} + y^{^{''}} - 30 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{5 t} + c_{3} e^{- 6 t}

Schritte zur Lösung

y^{'''} (t) + y^{''} (t) - 30 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{5 t} + c_{3} e^{- 6 t}

y = c_{1} + c_{2} e^{5 t} + c_{3} e^{- 6 t}

Graph

Beliebte Beispiele

θ^{''}(t)+16.33θ(t)=0

θ^{^{''}} (t) + 16.33 θ (t) = 0

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

x^{''}+1536/25 x=0

x^{^{''}} + \frac{1536}{25} x = 0

10y^{''}+40y^'+240y=0

10 y^{^{''}} + 40 y^{^{'}} + 240 y = 0

x^{''}+2x^'+3x=0,x(0)=1,x^'(0)=0

x^{^{''}} + 2 x^{^{'}} + 3 x = 0, x (0) = 1, x^{^{'}} (0) = 0