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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} - \frac{9}{50} sin (2 t) + \frac{6}{25} cos (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} - \frac{9}{50} sin (2 t) + \frac{6}{25} cos (2 t)

y = c_{1} + c_{2} e^{t} + c_{3} t e^{t} - \frac{9}{50} sin (2 t) + \frac{6}{25} cos (2 t)

Graph

Beliebte Beispiele

y^{''}+4y^'+3y=5e^2x

y^{^{''}} + 4 y^{^{'}} + 3 y = 5 e^{2} x

y^{''}+13y=7e^{3x}

y^{^{''}} + 13 y = 7 e^{3 x}

y^{''}+4y^'+3y=-19te^{4t}

y^{^{''}} + 4 y^{^{'}} + 3 y = - 19 t e^{4 t}

2 y^{^{''}} - y^{^{'}} = 7

y^{''}+y^'-6y=x^2-x+e^{2x}

y^{^{''}} + y^{^{'}} - 6 y = x^{2} - x + e^{2 x}