El profesor se sorprenderá mucho al ver tu solución correcta😉
d --(y(x)) dx 14 -------- = x 6 y (x)
y'/y^6 = x^14
f1(x)*g1(y)*y' = f2(x)*g2(y),
g1(y)/g2(y)*y'= f2(x)/f1(x).
__________ 5 ___ / -1 y(x) = \/ 3 * / -------- 5 / 15 \/ C1 + x
__________ / ___________\ 5 ___ / -1 | ___ ___ / ___ | \/ 3 * / -------- *\-1 + \/ 5 - I*\/ 2 *\/ 5 + \/ 5 / 5 / 15 \/ C1 + x y(x) = ----------------------------------------------------------- 4
__________ / ___________\ 5 ___ / -1 | ___ ___ / ___ | \/ 3 * / -------- *\-1 + \/ 5 + I*\/ 2 *\/ 5 + \/ 5 / 5 / 15 \/ C1 + x y(x) = ----------------------------------------------------------- 4
__________ / ___________\ 5 ___ / -1 | ___ ___ / ___ | \/ 3 * / -------- *\-1 - \/ 5 - I*\/ 2 *\/ 5 - \/ 5 / 5 / 15 \/ C1 + x y(x) = ----------------------------------------------------------- 4
__________ / ___________\ 5 ___ / -1 | ___ ___ / ___ | \/ 3 * / -------- *\-1 - \/ 5 + I*\/ 2 *\/ 5 - \/ 5 / 5 / 15 \/ C1 + x y(x) = ----------------------------------------------------------- 4
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 163.57719656604485)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.5910489201161894e+184)
(7.777777777777779, 8.388243567717682e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)