Q.2 Given the second order partial dif ferential equation +2uxy+3uy 5u, +7u,+2u=Sin(x). ху (a) Determine its type (hyperbolic, parabolic, elliptic). (b) Reduce it to a canonical form by means of a suitable trans formation.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q.2 Given the second order partial differential equation
Ux+2uxy+3uyy-5u,+7u,+2u= Sin(x).
(a) Determine its type (hyperbolic, parabolic, elliptic).
XX
ху
(b) Reduce it to a canonical form by means of a suitable trans formation.
Transcribed Image Text:Q.2 Given the second order partial differential equation Ux+2uxy+3uyy-5u,+7u,+2u= Sin(x). (a) Determine its type (hyperbolic, parabolic, elliptic). XX ху (b) Reduce it to a canonical form by means of a suitable trans formation.
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