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Beliebt Rechnen >

y^{''}-10y^'+29y=87x

Lösung

y^{^{''}} - 10 y^{^{'}} + 29 y = 87 x

Lösung

y = e^{5 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 3 x + \frac{30}{29}

Schritte zur Lösung

y^{''} (x) - 10 y^{'} (x) + 29 y = 87 x

Solve linear ODE:

y = e^{5 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 3 x + \frac{30}{29}

y = e^{5 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 3 x + \frac{30}{29}

Graph

Beliebte Beispiele

(D + 1) 3 y = 5 e - x

y^{''}-4y=cos(2x)

y^{^{''}} - 4 y = cos (2 x)

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

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

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

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

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

4 y^{^{''}} + 4 y^{^{'}} + y = 4 e^{- \frac{x}{4}}