.Solve the differential equation out radiation, subject to the following conditions: du (i) u is not infinite for t→∞, (ii) dr (ii) u = lx-x² for t = 0, between x = 0 and x = 1. du at q² dªu dx² = 0 for x = 0 and x = 1, for the conduction of heat along a rod with-

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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.Solve the differential equation
out radiation, subject to the following conditions:
du
(i) u is not infinite for t→→∞, (ii)
dr
(ii) u = lx-x² for t = 0, between x = 0 and x = 1.
du
at
=
q²
d²u
dx²
= 0 for x = 0 and x = 1,
for the conduction of heat along a rod with-
Transcribed Image Text:.Solve the differential equation out radiation, subject to the following conditions: du (i) u is not infinite for t→→∞, (ii) dr (ii) u = lx-x² for t = 0, between x = 0 and x = 1. du at = q² d²u dx² = 0 for x = 0 and x = 1, for the conduction of heat along a rod with-
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