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Unformatted text preview: ind the general solution.
b) Verify that your solution solves the DE.
c) Try to solve the boundary value problems consisting of the given equation
and the following boundary conditions. In each case state if there is a
unique solution, inﬁnitely many solutions, or no solution (we have no
theorems to apply here; we’re drawing our conclusions simply by trying
to ﬁnd the solutions).
i) u(x, 0) = x2 ,
ii) u(x, 0) = x2 ,
iii) u(x, 0) = x2 , uy (0, y ) = y
uy (x, y ) |y=x = ex
uy (1, y ) = e2y 8. Solve the PDE
2 u x + uy + u = 0
subject to the in...
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This homework help was uploaded on 03/02/2014 for the course AMATH 350 taught by Professor Davidhamsworth during the Fall '12 term at University of Waterloo, Waterloo.
- Fall '12