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Partial Differential Equations - Assignment 2 Questions | MTH 3326, Assignments of Differential Equations

Baylor University (BU)Differential Equations
Prof. Lance L. Littlejohn

Material Type: Assignment; Professor: Littlejohn; Class: Partial Differential Equations; Subject: Mathematics; University: Baylor University; Term: Spring 2009;

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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koofers-user-nas 🇺🇸

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Math 3326
Spring Semester 2009
Problem Set #2
1. For each of the following …rst-order partial di¤erential equations, …nd
(a) the characteristic equation and the characteristic curves, and
(b) the general solution (in terms of the variables xand y) :
(i) 3ux+ 5uyxyu = 0
(ii) ux+ 4uyxu = 0
(iii) uxxuy= 4
(iv) ux+yuy+xu = 0
(v) xux+yuy+ 2 = 0:
1

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Math 3326

Spring Semester 2009

Problem Set

  1. For each of the following Örst-order partial di§erential equations, Önd

(a) the characteristic equation and the characteristic curves, and (b) the general solution (in terms of the variables x and y) : (i) 3 ux + 5uy xyu = 0 (ii) ux + 4uy xu = 0 (iii) ux xuy = 4 (iv) ux + yuy + xu = 0 (v) xux + yuy + 2 = 0: