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Beliebt Rechnen >

1x^{''}-3x^'+2x=20sin(2t)

Lösung

1 x^{^{''}} - 3 x^{^{'}} + 2 x = 20 sin (2 t)

Lösung

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

Schritte zur Lösung

1 x^{''} (t) - 3 x^{'} (t) + 2 x = 20 sin (2 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{'''}=3y^{''}+9(e^{2x})+5cos(x)

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{2 x}) + 5 cos (x)

(D^4-1)y=e^{-x}

(D^{4} - 1) y = e^{- x}

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

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

y^{''}+4y=3cos(2.1x)

y^{^{''}} + 4 y = 3 cos (2.1 x)