1. Classify each of the partial differential equations below as either hyperbolic, parabolic, or elliptic, determine the characteristics, and transform the equations to canonical form: (g) x²uxx+4yux+u+2u₁ = 0, (i) Uxx+2xU¸+ a²u+u = 5, (h) 3yux-xu = 0, (j) yuxx-2u+e* U + x² u₂ − u = 0. yy