Classification of partial differential equations: For each of the following partial differential equations, specifiy the order, whether the equation is linear or non-linear and if applicable state the type of it (elliptic, parabolic or hyperbolic):

a) uxx + utt = sin(x) cos(t)

b) uxut xutt = 0

c) utuxxx 6uux = 0

1. Classification of partial differential equations: For each of the following partial differential equations, specifiy the order, whether the equation is linear or non-linear and if applicable state the type of it (elliptic, parabolic or hyperbolic): a) Uxz + Utt = sin(x) cos(t) b) c) UzUt rutt = 0 UfUIrz 6uuz = 0 1. Classification of partial differential equations: For each of the following partial differential equations, specifiy the order, whether the equation is linear or non-linear and if applicable state the type of it (elliptic, parabolic or hyperbolic): a) Uxz + Utt = sin(x) cos(t) b) c) UzUt rutt = 0 UfUIrz 6uuz = 0