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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{t} (c_{1} cos (23 t) + c_{2} sin (23 t))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{t} (c_{1} cos (23 t) + c_{2} sin (23 t))

y = e^{t} (c_{1} cos (23 t) + c_{2} sin (23 t))

Graph

Beliebte Beispiele

y^{''}+9y^'+17y=0

y^{^{''}} + 9 y^{^{'}} + 17 y = 0

y^{''}+8y^'+15y=0,y(0)=-2,y^'(0)=16

y^{^{''}} + 8 y^{^{'}} + 15 y = 0, y (0) = - 2, y^{^{'}} (0) = 16

y^{''}+2y^'+10y=0,y(0)=-3,y^'(0)=-4

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = - 3, y^{^{'}} (0) = - 4

y^{''}-9y^'=0,y(0)=e^{3x}

y^{^{''}} - 9 y^{^{'}} = 0, y (0) = e^{3 x}

y^{'''}+4y^{''}-15y^'-18y=0

y^{^{'''}} + 4 y^{^{''}} - 15 y^{^{'}} - 18 y = 0