Sr Examen
Ecuación diferencial y''-2/(xlnx)y'+(lnx+2)/(x^(2)ln^(2)(x))=(ln^(2)(x))/x^(2)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d
2*--(y(x)) 2 2
2 + log(x) dx d log (x)
---------- - ---------- + ---(y(x)) = -------
2 2 x*log(x) 2 2
x *log (x) dx x
$$\frac{d^{2}}{d x^{2}} y{\left(x \right)} - \frac{2 \frac{d}{d x} y{\left(x \right)}}{x \log{\left(x \right)}} + \frac{\log{\left(x \right)} + 2}{x^{2} \log{\left(x \right)}^{2}} = \frac{\log{\left(x \right)}^{2}}{x^{2}}$$
y'' - 2*y'/(x*log(x)) + (log(x) + 2)/(x^2*log(x)^2) = log(x)^2/x^2
Clasificación
nth linear euler eq nonhomogeneous variation of parameters
nth order reducible
nth linear euler eq nonhomogeneous variation of parameters Integral