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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{20} sin (2 t) - \frac{1}{20} cos (2 t)

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{20} sin (2 t) - \frac{1}{20} cos (2 t)

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{20} sin (2 t) - \frac{1}{20} cos (2 t)

Graph

Beliebte Beispiele

y^{''}+4y=10e^{5x}

y^{^{''}} + 4 y = 10 e^{5 x}

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

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

y^{'''}-y^{''}+y^'-y=sec(t)

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = sec (t)

y^{''}+y=cos(x)-sin(x)

y^{^{''}} + y = cos (x) - sin (x)

y^{''}+2y^'+5y=1,y^'(0)=0,y(0)=0

y^{^{''}} + 2 y^{^{'}} + 5 y = 1, y^{^{'}} (0) = 0, y (0) = 0