Question: Show that an implicit solution of2x sin2(y) dx (x2+16) cos(y) dy =0is given byln(x2+16)+ csc(y)= C.Differentiatingln(x2+16)+ csc(y)= Cwe get2xx2+16+dydx=0or2x sin2(y) dx +dy =0.Find the constant

Show that an implicit solution of2x sin2(y) dx (x2+16) cos(y) dy =0is given byln(x2+16)+ csc(y)= C.Differentiatingln(x2+16)+ csc(y)= Cwe get2xx2+16+dydx=0or2x sin2(y) dx +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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