Sr Examen
Ecuación diferencial 4xy''+sin(x)y'+7y=0
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Solución
Ha introducido
[src]
2
d d
7*y(x) + --(y(x))*sin(x) + 4*x*---(y(x)) = 0
dx 2
dx
$$4 x \frac{d^{2}}{d x^{2}} y{\left(x \right)} + 7 y{\left(x \right)} + \sin{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
4*x*y'' + 7*y + sin(x)*y' = 0
Respuesta
[src]
/ 3 2 4\
| 343*x 7*x 49*x 2401*x | / 6\
y(x) = C1*x*|1 - ------ - --- + ----- + -------| + O\x /
\ 9216 8 192 737280/
$$y{\left(x \right)} = C_{1} x \left(\frac{2401 x^{4}}{737280} - \frac{343 x^{3}}{9216} + \frac{49 x^{2}}{192} - \frac{7 x}{8} + 1\right) + O\left(x^{6}\right)$$
Clasificación
2nd power series regular