Question: PDE, Chain Rule

Hey everybody I am trying to get maple to do some partial differention for me. 

Where 

 

I have PDEtools on but, it doesnt return an expression correctly. It's I think the problem is because Ψ is a function of (x,y) and f is a function of η and η is a function of x and y . U and ν are constants. vand vy are the x and y velocites. 

 

What I would like the program to return when I write 

is something along the lines of 

 

could someone give me a hand on this. I would really apperciate it. 

 

Best Regards, 

Kyle 

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