Question: Show solution to initial value problem using Method of Characteristics through Maple.

Let X=(0,∞) x R and y=>g(y) be a given function. Find the solution:

(x,y)==>u(x,y)

To the initial value problem

(-x-y)ux(x,y)-(y)uy(x,y)+u(x,y)=0 for all (x,y)belonging to X

subject to u(0,y)=g(y).

 

I keep getting stuck; Any help would be amazing!

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