Question: implicit differentiation

Hi Maple friends.

x(x+y)^4 = y(3*x-y)^2

When I differentiate implicitly by hand, I get:

-5*x^4-4*x^3*y+3*y^2/x^4-6*x*y+3*y^2 (my lecturer also got this solution)

Maple gives the result as: 


Maybe I am doing something wrong in Maple? From the context menu, I choose implicit differentiation, and then select y as the dependent variable. How can I get Maple to give the same solution?

Thanks in advance.

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