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Constant Coefficient Equations and Variable Coefficient Equations.

Questions: Solve:

1) aU

_{x}+bU

_{y}+ cU = 0

2) U

_{x}+ U

_{Y}= 1

where U = U(x,y)

Attempt:

Well for 2) I'm thinking that it doesn't necessarily matter that the constant is 1 even though in the text it is boxed that the equation has to be of the form U

_{x}+ yU

_{y}= 0

but 1 is just another constant. As for 1) I am a little miffed.