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Beliebt Rechnen >

y^{'''}+6y^{''}+13y^'=0

Lösung

y^{^{'''}} + 6 y^{^{''}} + 13 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 6 y^{''} (t) + 13 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'+ay=0,y(0)=1,y^'(0)=-8

y^{^{''}} + 3 y^{^{'}} + a y = 0, y (0) = 1, y^{^{'}} (0) = - 8

y^{'''}+6y^{''}-15y^'-100y=0

y^{^{'''}} + 6 y^{^{''}} - 15 y^{^{'}} - 100 y = 0

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

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

x^{'''}+x^{''}-12x^'=0

x^{^{'''}} + x^{^{''}} - 12 x^{^{'}} = 0

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

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