Show that an implicit solution of 2x sin2(y) dx − (x2 + 18) cos(y) dy = 0
is given by
ln(x2 + 18) + csc(y) = C.
Differentiating
ln(x2 + 18) + csc(y) = C
we get
2x
x2 + 18
+

Incorrect: Your answer is incorrect.

dy
dx
= 0
or
2x sin2(y) dx +

Incorrect: Your answer is incorrect.

dy = 0.
Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.)
y =

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Explanation: