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Partial Differential Equations : Linear and Non-Linear, Order and Dependent and Independent Variables

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.
i) ut=9uyy
ii) x^2Pzz = z^2Pxx
iii) WWrr=pqr
iv) sxx + syy +szz =0
v) (xu)^2 + (xy)^2 = 10


Solution Summary

PDEs, linear and non-linear, order and dependent and independent variables are investigated. The solution is detailed and well presented.