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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{'''} (t) - y^{''} (t) + 9 y^{'} (t) - 9 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-12y^'+136y=0

y^{^{''}} - 12 y^{^{'}} + 136 y = 0

256y^{''''}=16y

256 y^{^{''''}} = 16 y

y^{''}-7y^'-4y=0

y^{^{''}} - 7 y^{^{'}} - 4 y = 0

y^{''}-15y^'+50y=0,y(0)=8,y^'(0)=-55

y^{^{''}} - 15 y^{^{'}} + 50 y = 0, y (0) = 8, y^{^{'}} (0) = - 55

y^{''}+10y^'+8/3 y=0,y(0)=0,y^'(0)=-5

y^{^{''}} + 10 y^{^{'}} + \frac{8}{3} y = 0, y (0) = 0, y^{^{'}} (0) = - 5