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Beliebt Rechnen >

y^{'''}-7y^{''}+11y^'-5y=0

Lösung

y^{^{'''}} - 7 y^{^{''}} + 11 y^{^{'}} - 5 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 7 y^{''} (t) + 11 y^{'} (t) - 5 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

f^{^{''}} (t) = f (t)

y^{''}-4y^'+5y=1+t,y(0)=0,y^'(0)=4

y^{^{''}} - 4 y^{^{'}} + 5 y = 1 + t, y (0) = 0, y^{^{'}} (0) = 4

y^{^{''}} - 2 y + 3 = 0

(d+1)^2*y=2e^{-2}x

(d + 1)^{2} \cdot y = 2 e^{- 2} x

y^{''}+4y^'+5y=35e^{-4}x

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e^{- 4} x