Please answer question (b) 9. (a) Show that the PDE Ux = 0 has no solution...

Please answer question (b)

9. (a) Show that the PDE Ux = 0 has no solution which is C1 everywhere and satisfies the side condition u(x,x^3) = x , even though the side condition curve y = x^3 intersects each

characteristic line (y = d) only once.
(b) Part (a) demonstrates the necessity of the transversality condition on the intersections of the side condition curve with the characteristic lines. Explain why.

Hint. At what angle does the curve y = x^3 meet the x-axis?

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Expert Solution

Colby Messinger answered 1 year ago

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