The velocity components for a flow field are as follows;

and

a) Prove that it statifies the continuity equation ;

b) Determine the stream function

Not sure if my method for part 'a' is correct, I just started rearranging the equations

sub this into

It's not the exact desired equation but I am not sure how to get the as partial derivatives?

Also any help on part 'b', do I integrate?

Thank you.