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Beliebt Rechnen >

x^{''}-c^2x=ccos(ct+a)

Lösung

x^{^{''}} - c^{2} x = c cos (c t + a)

Lösung

x = c_{1} e^{c t} + c_{2} e^{- c t} - \frac{cos ( c t + a )}{2 c}

Schritte zur Lösung

x^{''} (t) - c^{2} x = c cos (c t + a)

Solve linear ODE:

x = c_{1} e^{c t} + c_{2} e^{- c t} - \frac{cos ( c t + a )}{2 c}

x = c_{1} e^{c t} + c_{2} e^{- c t} - \frac{cos ( c t + a )}{2 c}

Graph

Beliebte Beispiele

y^{'''}-9y^{''}+27y^'-27y=3e^{3x}

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 3 e^{3 x}

y^{''}-y^'-2y=e^{-2t}-3e^{-t}

y^{^{''}} - y^{^{'}} - 2 y = e^{- 2 t} - 3 e^{- t}

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

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

y^{'''}+6y^{''}=3-cos(x)

y^{^{'''}} + 6 y^{^{''}} = 3 - cos (x)

x^{''}+3x^'+61/4 x= 1/2 e^t

x^{^{''}} + 3 x^{^{'}} + \frac{61}{4} x = \frac{1}{2} e^{t}