Single Variable Calculus: Early Transcendentals, Volume I
Single Variable Calculus: Early Transcendentals, Volume I
8th Edition
ISBN: 9781305270343
Author: James Stewart
Publisher: Cengage Learning
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Chapter C, Problem 6E
To determine

To show: The given equation represents the equation of the circle.

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4. Use method of separation of variable to solve the following wave equation მłu J²u subject to u(0,t) =0, for t> 0, u(л,t) = 0, for t> 0, = t> 0, at² ax²' u(x, 0) = 0, 0.01 x, ut(x, 0) = Π 0.01 (π-x), 0
Solve the following heat equation by method of separation variables: ди = at subject to u(0,t) =0, for -16024 ძx2 • t>0, 0 0, ux (4,t) = 0, for t> 0, u(x, 0) = (x-3, \-1, 0 < x ≤2 2≤ x ≤ 4.
ex 5. important aspects. Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all 6 33
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