El profesor se sorprenderá mucho al ver tu solución correcta😉
2 d ___ d d 1 + x *--(y(x)) - \/ 3 *--(y(x)) - 2*x*--(y(x)) = 0 dx dx dx
x^2*y' - 2*x*y' - sqrt(3)*y' + 1 = 0
f1(x)*g1(y)*y' = f2(x)*g2(y),
g1(y)/g2(y)*y'= f2(x)/f1(x).
/ ____________ \ / ____________ \ ____________ | ___ / ___ / ___\| ____________ | ___ / ___ / ___\| ___ / ___ | \/ 2 *\/ -1 + \/ 3 *\-1 - \/ 3 /| ___ / ___ | \/ 2 *\/ -1 + \/ 3 *\-1 - \/ 3 /| \/ 2 *\/ -1 + \/ 3 *log|-1 + x + ----------------------------------| \/ 2 *\/ -1 + \/ 3 *log|-1 + x - ----------------------------------| \ 2 / \ 2 / y(x) = C1 - ---------------------------------------------------------------------- + ---------------------------------------------------------------------- 4 4
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.7263027028298866)
(-5.555555555555555, 0.6856985326164934)
(-3.333333333333333, 0.5985497534426135)
(-1.1111111111111107, 0.2045698468984341)
(1.1111111111111107, -8.4778594900632)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 1.7373559329555976e-47)
(7.777777777777779, 8.388243567717303e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)