The differential equation dy/dx=(10x+9)/(9y^2+4y+3) has an implicit general solution of the form F(x,y)=K, where K is an arbitary constant. In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form F(x,y)=G(x)+H(y)=K. Find such a solution and then give the related functions requested.

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