**Unformatted text preview: **30 Math 2930
Spring 2018
Quiz 10
4/27/2018
Time Limit: 10 Minutes 1. (10 points) Consider the conduction of heat in a. rod 40 cm in length whose ends are
maintained at 0 for all t > 0. Find an expression fori the temperature u(2:, t) if the initial
temperature distribution in the rod is the given function. Suppose that 0:2 = 1. OSw<10 mi
“(23%
40—56, 1052:540 Uh“: Me O<X<\L0, f>0' . x 0: X< lo
Mimi): diatom =0, tuna) : { Mtxp‘t): XLMTH). :3 X j,\)( = 0.
Km): KLUo);o_ => T'+ a’x‘i - 0.
““ZTTLt/lﬁoa m 0g
:) ULXIt31 1 Cue “ I 5“ (Mi s. . w h to '
em” em “5’ wee) 4”ij gr em] d 713 Ll-o NW" I? X§.». huxjoix=~£¥¥°x€os[ﬂ)‘ ewm‘ —-c. m} ere“— on : "HT: lCDS(%‘hT0 + “00 ginhin'ﬁ) . n11“. Lia \J.» liooo ‘11:: §
+ §1A( 5‘; I (1*). o l on o -
C“ __- was (Emil )4» -‘—E—:*@Y.h(qh'ﬁi + L Cosh'ﬂr- ”1‘0” C he“) *% ﬁhL‘i‘ﬂi) ...

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