Show that an implicit solution of 2x sin 2 y dx - (x 2 + 10) cos

Question:

Show that an implicit solution of

2x sin2 y dx - (x2 + 10) cos y dy = 0

is given by ln(x2 + 10) 1 csc y = c. Find the constant solutions, if any, that were lost in the solution of the differential equation.

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