Consider the 2nd order PDE = 30, +6xUxy 30 yy = cos(x). (a) [5 points] Determine the regions in the xy-plane where the PDE is hyperbolic, parabolic, and elliptic. (6) [15 points] Derive the canonical form of the given parabolic PDE 34,0 +60 xy - 30.yy = c

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Consider the 2nd order PDE = 30, +6xUxy 30 yy = cos(x). (a) [5 points] Determine the regions in the xy-plane where the PDE is hyperbolic, parabolic, and elliptic. (6) [15 points] Derive the canonical form of the given parabolic PDE 34,0 +60 xy - 30.yy = cos(x). Paragraph BEE

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Consider the 2nd order PDE = 30, +6xUxy 30 yy = cos(x). (a) [5 points] Determine the regions in the xy-plane where the PDE is hyperbolic, parabolic, and elliptic. (6) [15 points] Derive the canonical form of the given parabolic PDE 34,0 +60 xy - 30.yy = c

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