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Beliebt Rechnen >

y^{''}+2y^'+4y=5sin(3t)

Lösung

y^{^{''}} + 2 y^{^{'}} + 4 y = 5 sin (3 t)

Lösung

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) - \frac{25}{61} sin (3 t) - \frac{30}{61} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 4 y = 5 sin (3 t)

Solve linear ODE:

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) - \frac{25}{61} sin (3 t) - \frac{30}{61} cos (3 t)

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) - \frac{25}{61} sin (3 t) - \frac{30}{61} cos (3 t)

Graph

Beliebte Beispiele

y^{''}+3y^'+6y=xe^{2x}

y^{^{''}} + 3 y^{^{'}} + 6 y = x e^{2 x}

y^{''}+2y^'+5y=1

y^{^{''}} + 2 y^{^{'}} + 5 y = 1

y^{''}-4y^'+4y=x^2e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{2} e^{2 x}

x^{''}+2x^'+x=e^{(-t)}

x^{^{''}} + 2 x^{^{'}} + x = e^{(- t)}

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

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