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Beliebt Rechnen >

y^{'''}-3y^{''}+4y^'-2y=0

Lösung

y^{^{'''}} - 3 y^{^{''}} + 4 y^{^{'}} - 2 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 3 y^{''} (t) + 4 y^{'} (t) - 2 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

3y^{''}+7y^'+2y=0

3 y^{^{''}} + 7 y^{^{'}} + 2 y = 0

y^{''}+9y=0,y(0)=0,y^'(0)=3

y^{^{''}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 3

y^{''}+9y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 1

(d^{4} + 1) y = 0

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

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