Question: Consider the autonomous DE dydx = 2 y sin ( y ) . Determine the critical points of the equation. Discuss a way of obtaining

Consider the autonomous DE
dydx
=
2
y sin(y).
Determine the critical points of the equation. Discuss a way of obtaining a phase portrait of the equation. (Enter your answers using interval notation.)
Since
2
y sin(y)>0for y
and
2
y sin(y)<0for y
,

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