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Beliebt Rechnen >

y^{'''}-6y^{''}-36y^'+216y=0

Lösung

y^{^{'''}} - 6 y^{^{''}} - 36 y^{^{'}} + 216 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) - 36 y^{'} (t) + 216 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-2y^'+10y=0,y(0)=1,y^'(0)=5

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 5

y^{''}+4y=0,y(pi/6)=5,y(0)=-2

y^{^{''}} + 4 y = 0, y (\frac{π}{6}) = 5, y (0) = - 2

y^{''}+y=0,y^'(0)=1

y^{^{''}} + y = 0, y^{^{'}} (0) = 1

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