Unformatted text preview: is linear or non linear. If it is linear, state wheather it is homogeneous or nonhomogeneous. (a) u xx + xu y = y (b) uu x − 2 xyu y = 0 (c) u 3 x + uu y = 1. (d) u xxxx + 4 u xxyy + u yyyy = 0 (e) u xx + 2 u xy + u yy = cos x (f) u xxx + u xyy + log u = 0 Q4. Show that u ( x, y ) = f ( x ) g ( y ) where f and g are arbitrary twice diﬀerentiable functions satisﬁes uu xy − u x u y = 0 ....
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 Spring '09
 SARKAR
 Math, Fourier Series, Fourier series expansions, regular SL problems, ux uy, Q1. Verify

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