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Answer to Question #23680 in Differential Equations for Matthew Lind

Question #23680
Show that each of the following equations has a solution of the form u(x,y) = e^(ax+by). Find the constants a,b for each example:

a) u_x + 3u_y + u = 0.

b) u_xx + u_yy = 5e^(x-2y).
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