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Beliebt Rechnen >

y^{'''}-6y^{''}+11y^'-6=0

Lösung

y^{^{'''}} - 6 y^{^{''}} + 11 y^{^{'}} - 6 = 0

Lösung

y = c_{1} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t)) + \frac{6 t}{11}

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) + 11 y^{'} (t) - 6 = 0

Solve linear ODE:

y = c_{1} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t)) + \frac{6 t}{11}

y = c_{1} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t)) + \frac{6 t}{11}

Graph

Beliebte Beispiele

y^{'''}-6y^{''}=4-sin(x)

y^{^{'''}} - 6 y^{^{''}} = 4 - sin (x)

y^{''}+3y=5,y(0)=1,y^'(0)=1

y^{^{''}} + 3 y = 5, y (0) = 1, y^{^{'}} (0) = 1

y^{''}+4y=sin(x)sin(2x)

y^{^{''}} + 4 y = sin (x) sin (2 x)

y^{''}+2y^'+2y=acos(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = a cos (x)

y^{''}-2y^'+10y=40,y(0)=0,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} + 10 y = 40, y (0) = 0, y^{^{'}} (0) = 0