Answer Happy

Please provide clear and neat solutions step by step for these
problems? I greatly appreciate it. Thanks!
5. Give the orders of the following PDEs, and classify them as linear or nonlinear. If the PDE is linear, specify whether it is homogeneous or inhomogeneous. +y?uyy ,- log(1 + y2)u = 0 (c) + e*ux = y *xxy (d) uu -u= 0 (e) u = 3u. yy (a) x?uxxy 2,u = 0 (b) Ux 3 + u = 1 Uxxyy + u XX + XX
12. For what values of the positive constants m and n will the second-order PDE , + u xx *уу + mu +ų, + nu, = 0 be (a) hyperbolic, (b) elliptic, (c) parabolic or (d) degenerate ? "ху y X