Show that an implicit solution of 2x sin2(y) dx – (x² + 11) cos(y) dy = 0 is given by In(x + 11) + csc(y) = C. cos (y) 2x 2 sin (y) dy = 0 or dx Differentiating In(x + 11) + csc(y) = C we get x2 + 11 2x sin?ty) dx + ( (? +11)cos(y) x dy = 0. Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.)

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