A) Solve the equation uxy = x^2 y and its particular solution fur which u(1,y)= cos(y).
b) Determine whether each of the following partial differential equations is linear or nonlinear, state the order of the equation, and name the dependent and independent variables.
ii) x^2Pzz = z^2Pxx
iv) sxx + syy +szz =0
v) (xu)^2 + (xy)^2 = 10
PDEs, linear and non-linear, order and dependent and independent variables are investigated. The solution is detailed and well presented.