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Beliebt Rechnen >

y^{'''}-5y^{''}+17y^'-13y=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 17 y^{^{'}} - 13 y = 0

Lösung

y = c_{1} e^{t} + e^{2 t} (c_{2} cos (3 t) + c_{3} sin (3 t))

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 17 y^{'} (t) - 13 y = 0

Solve linear ODE:

y = c_{1} e^{t} + e^{2 t} (c_{2} cos (3 t) + c_{3} sin (3 t))

y = c_{1} e^{t} + e^{2 t} (c_{2} cos (3 t) + c_{3} sin (3 t))

Graph

Beliebte Beispiele

y^{''}+22y^'+122y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 22 y^{^{'}} + 122 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''}-4y^'+13y=0,y(0)=-5,y^'(0)=-1

y^{^{''}} - 4 y^{^{'}} + 13 y = 0, y (0) = - 5, y^{^{'}} (0) = - 1

y^{^{'''}} = y

x^{''}-2x^'+x=0

x^{^{''}} - 2 x^{^{'}} + x = 0

3 y^{^{''}} - 4 y = 0