Sr Examen
Ecuación diferencial x^2y''-xy'-3y=-(16lnx/x)
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Solución
Ha introducido
[src]
2
2 d d -16*log(x)
-3*y(x) + x *---(y(x)) - x*--(y(x)) = ----------
2 dx x
dx
$$x^{2} \frac{d^{2}}{d x^{2}} y{\left(x \right)} - x \frac{d}{d x} y{\left(x \right)} - 3 y{\left(x \right)} = - \frac{16 \log{\left(x \right)}}{x}$$
x^2*y'' - x*y' - 3*y = -16*log(x)/x
Respuesta
[src]
2 4
C1 + 2*log (x) + C2*x + log(x)
y(x) = -------------------------------
x
$$y{\left(x \right)} = \frac{C_{1} + C_{2} x^{4} + 2 \log{\left(x \right)}^{2} + \log{\left(x \right)}}{x}$$
Clasificación
nth linear euler eq nonhomogeneous undetermined coefficients
nth linear euler eq nonhomogeneous variation of parameters
nth linear euler eq nonhomogeneous variation of parameters Integral