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Beliebt Rechnen >

y^{''}+4y^'+5y=sin(x)

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = sin (x)

Lösung

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{8} sin (x) - \frac{1}{8} cos (x)

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 5 y = sin (x)

Solve linear ODE:

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{8} sin (x) - \frac{1}{8} cos (x)

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{8} sin (x) - \frac{1}{8} cos (x)

Graph

Beliebte Beispiele

y^{''}=2y+20tan^3(x),y(0)=10tan(x)

y^{^{''}} = 2 y + 20 tan^{3} (x), y (0) = 10 tan (x)

1/6 y^{''}+6y=2tan(6t)-1/4 e^{3t}

\frac{1}{6} y^{^{''}} + 6 y = 2 tan (6 t) - \frac{1}{4} e^{3 t}

y^{''}+4y=11t^3sin(2t)

y^{^{''}} + 4 y = 11 t^{3} sin (2 t)

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

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

y^{''}-3y^'-4y=4x

y^{^{''}} - 3 y^{^{'}} - 4 y = 4 x