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Beliebt Rechnen >

y^{''}+5y^'+6y=sin(2x)

Lösung

y^{^{''}} + 5 y^{^{'}} + 6 y = sin (2 x)

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{52} sin (2 x) - \frac{5}{52} cos (2 x)

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) + 6 y = sin (2 x)

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{52} sin (2 x) - \frac{5}{52} cos (2 x)

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{52} sin (2 x) - \frac{5}{52} cos (2 x)

Graph

Beliebte Beispiele

y^{''}-4y=e^{5x}

y^{^{''}} - 4 y = e^{5 x}

y^{''}+y^'-12y=xe^{2x}

y^{^{''}} + y^{^{'}} - 12 y = x e^{2 x}

x^{''}-2x^'-x=e^{2t}

x^{^{''}} - 2 x^{^{'}} - x = e^{2 t}

y^{''}-y=e^xcos(x),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{x} cos (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-10y^'+25y=t^{-6}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 6} e^{5 t}