Fall 2010 Rajat Mittal Homework 1 EN 530.766 1)Consider the following PDE (, )xxxyyyxyabcdefgxΦ+Φ+Φ+Φ+Φ+ Φ=y. Transform the above equation from to ),(yx),(ηξand show that the transformed equation can be written as ),,,,(ηξηηξηξξΦΦΦ=Φ+Φ+ΦHCBAobtain expressions for ,,,&ABCH2)Classify and determine the characteristics of : a) 02=−yyxxyuxu0>yb) 0222=+++yyyxyyxxxxueueueAlso plot the characteristics. Do not plot by hand; use MATLAB or any other
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