Sr Examen
Ecuación diferencial xy''+2y'-xy=0
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Solución
Ha introducido
[src]
2
d d
2*--(y(x)) + x*---(y(x)) - x*y(x) = 0
dx 2
dx
$$- x y{\left(x \right)} + x \frac{d^{2}}{d x^{2}} y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)} = 0$$
-x*y + x*y'' + 2*y' = 0
Respuesta
[src]
C1*besselj(1/2, I*x) + C2*bessely(1/2, I*x)
y(x) = -------------------------------------------
___
\/ x
$$y{\left(x \right)} = \frac{C_{1} J_{\frac{1}{2}}\left(i x\right) + C_{2} Y_{\frac{1}{2}}\left(i x\right)}{\sqrt{x}}$$
Clasificación
2nd linear bessel
2nd power series regular