PDE Q1. Express the following functions e.g 2 = f(x, y) in differential form dz (a) (i) (ii) (iii) (iv) z x z = x + y z = 2x + 3y z = x + y 3 z = 2x + 3y = z dx + -dy Q2. (i) Q3. (a) Q4. (a) (i) (i) = (x, y) 8% (a=x0+,y=yo) 0x (x=x0,y=yo) = (l,m) ad ad ail(l=lo+1,m=mo) ail(l=lo,m=mo) * = f(x) 3 d dx2](x=x0+) = {3\x=x0) dx