In my assignment, I got a few questions similar to the one shown below. I know I have to use partial differentiation but I have no idea where to start given these particular kind of questions.If you show me how to do these two, I think I'll do the rest at ease. Your help will be highly appreciated.

1.Determine the values ofaandbin the functions

u(x,y) = 16x^3 - 48xy^2+16x^2 - 16y^2,v(x,y) =ax^2y-16y^3 +bxysuch thatuandvsatisfy the Cauchy-Riemann equations

¶u/¶x

= ¶v/¶y

¶u/¶y

= - ¶v/¶x

.

2.Determine the POSITIVE values ofaandbin the function

u(x,t) =e^(x+at)(6x+bt) such thatusatisfies the wave equation

¶^2u/¶t^2

= 17^2 (¶^2u/¶x^2)

.