(d^2-5d+6)*y=x

Lösung

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

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x}{6} + \frac{5}{36}

y^{^{''}} - 6 y^{^{'}} + 8 y = 16 x^{2} - 2

(d^{3} - 2 d^{2} - 5 d + 6) y = e^{4} x

(d^{3} - 4 d) y = 2 cosh^{2} (2 x)

(d^{2} - 2 d + 3) y = x^{2}

(d^{2} - 4) y = x^{2}