(d^2-2d)y=e^x+e^{-x}

Lösung

(d^{2} - 2 d) y = e^{x} + e^{- x}

y = c_{1} e^{2 x} + c_{2} - e^{x} + \frac{1}{3} e^{- x}

Schritte zur Lösung

(d^{2} - 2 d) y = e^{x} + e^{- x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - e^{x} + \frac{1}{3} e^{- x}

y = c_{1} e^{2 x} + c_{2} - e^{x} + \frac{1}{3} e^{- x}

(d^{2} - 7 d + 10) y = 5 x + 7

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

(d^{2} - 8 d + 9) y = 8 sin^{5} (x)

(d^{2} + 5 d + 6) \cdot y = x^{2}

(d^{3} + 8) y = x^{4} + 2 x + 1