y^{''}+4y^'+5y=5x+3e-x

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 5 x + 3 e - x

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{4 x}{5} + \frac{15 e - 16}{25}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 5 y = 5 x + 3 e - x

Solve linear ODE:

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{4 x}{5} + \frac{15 e - 16}{25}

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{4 x}{5} + \frac{15 e - 16}{25}

x \to 1 lim (h (x))

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