1. Calculate the Transversality Conditions
2. and then solve the ff:
a.)Â Â Ux +Uy =1-U
U (X, X+X^2) = SIN X
b) XUx + YUy= 4U
with initial condition u=1 on the unit circle x^2 +y^2 =1
( you will need to parameterize the circle in terms of parameterr).
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