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[Solved]: The differential equation (dy)/(dx)=9+27x+15y+45xy
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(Solved): The differential equation (dy)/(dx)=9+27x+15y+45xy has an implicit general solution of the form F(x, ...


The differential equation

(dy)/(dx)=9+27x+15y+45xy

has an implicit general solution of the form

F(x,y)=K

. 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.

F(x,y)=G(x)+H(y)=


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