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**Can't figure out this seperable diffEQ! :(**

Hello everyone 'ive been trying to figure out this easy looking Differential Equation and yet its wrong! weee!

Here is the problem:

http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/58/6217226076d5fd259f53ad1e3ed4071.png [Broken]

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) = ?

I submitted:

http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/5a/1bcf742ffddc932f739864bc6d3e4a1.png [Broken]

which was wrong.

here is my work:

http://img202.imageshack.us/img202/9317/lastscan6uc.jpg [Broken]

Any help would be fantastical. <--yeah i'm pretty sure thats not a word.

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