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Beliebt Rechnen >

y^{'''}-2y^'-13y^'-10y^'=0

Lösung

y^{^{'''}} - 2 y^{^{'}} - 13 y^{^{'}} - 10 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 2 y^{'} (t) - 13 y^{'} (t) - 10 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

16y^{''}-8y^'+y=0,y(0)=40,y^'(0)=-10

16 y^{^{''}} - 8 y^{^{'}} + y = 0, y (0) = 40, y^{^{'}} (0) = - 10

y^{''}-y^'-ay=0

y^{^{''}} - y^{^{'}} - a y = 0

(D^4-6D^3+5D^2)y=0

(D^{4} - 6 D^{3} + 5 D^{2}) y = 0

y^{'''}-24y^{''}+192y^'-512y=0

y^{^{'''}} - 24 y^{^{''}} + 192 y^{^{'}} - 512 y = 0