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Answer to Question #39312 in Differential Equations for jacob milne

Question #39312
Please solve the IVP for the unknown function u = u(x1,x2,x3):

x2(partial u with respect to x1) - x1(partial u with respect to x2) + (partial u with respect to x3) = x1

u(x1,x2,0) = x1^2 - x2.
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