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Material Type: Assignment; Professor: Ledet; Class: Higher Mathematics for Engineers and Scientists I: Honors; Subject: MATHEMATICS; University: Texas Tech University; Term: Spring 2009;
Typology: Assignments
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Due Tuesday, January 27, 2009
Name (please print):
Write your solution on separate sheets of paper and attach them to this page before handing in. Show your work clearly.
Problem: (a) For each of the differential equations (i)โ(iv) below, determine whether it is exact or not:
(i) 3x^2 y dx + x^3 y^2 dy = 0. (ii) dx โ dy = 0. (iii) ex+2y^ dx + xex+2y^ dy = 0. (iv) 3x^2 y dx + x^3 dy = 0.
(b) Solve the initial value problem given by (x + y) dx + x dy = 0, y(1) = 1.
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