El profesor se sorprenderá mucho al ver tu solución correcta😉
2 11 d sin (y(x)) - x *--(y(x)) = 0 dx
-x^11*y' + sin(y)^2 = 0
f1(x)*g1(y)*y' = f2(x)*g2(y),
g1(y)/g2(y)*y'= f2(x)/f1(x).
/ _______________________________________\ | / 20 10 2 20 | | 1 \/ 1 + 100*x - 20*C1*x + 100*C1 *x | y(x) = -2*atan|-C1 + ------ + ------------------------------------------| | 10 10 | \ 10*x 10*x /
/ _______________________________________\ | / 20 10 2 20 | | 1 \/ 1 + 100*x - 20*C1*x + 100*C1 *x | y(x) = 2*atan|C1 - ------ + ------------------------------------------| | 10 10 | \ 10*x 10*x /
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.7499999997880705)
(-5.555555555555555, 0.7499999967947066)
(-3.333333333333333, 0.7499996507460515)
(-1.1111111111111107, 0.734076645161178)
(1.1111111111111107, 9.831244620556306e-09)
(3.333333333333334, 9.831244620966748e-09)
(5.555555555555557, 9.831244620966748e-09)
(7.777777777777779, 9.831244620966748e-09)
(10.0, 9.831244620966748e-09)
(10.0, 9.831244620966748e-09)