äbäi 25A rod of length (L = 1), its lateralsurface insulated, so that heat flowcan be defined as one-dimensional. Itis initially at uniform temperature (u =100 c). The temperature at (t = O) andat any time was (20 c) at the left endand (50 c) at the right end. Select thecorrect value of coefficient (c) for the* following equations-2u(x,t) = bx + c + [A cos 2x + B sin Ax]e a²2-5020No one100

The given equation is,u(x,t)=bx+c+Acosλx+Bsinλxe-λ2a2t The boundary conditions can be written as…

äbä 25 A rod of length (L = 1), its lateral %3D surface insulated, so that heat flow can be defined as one-dimensional. It is initially at uniform temperature (u = 100 c). The temperature at (t = 0) and at any time was (20 c) at the left end and (50 c) at the right end. Select the correct value of coefficient (c) for the * following equations -12 u(x, t) = bx + c + [A cos Ax + B sin Ax]e a²t %3D 50 20 No one 100

äbä 25 A rod of length (L = 1), its lateral %3D surface insulated, so that heat flow can be defined as one-dimensional. It is initially at uniform temperature (u = 100 c). The temperature at (t = 0) and at any time was (20 c) at the left end and (50 c) at the right end. Select the correct value of coefficient (c) for the * following equations -12 u(x, t) = bx + c + [A cos Ax + B sin Ax]e a²t %3D 50 20 No one 100

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

äbäi 25
A rod of length (L = 1), its lateral
surface insulated, so that heat flow
can be defined as one-dimensional. It
is initially at uniform temperature (u =
100 c). The temperature at (t = O) and
at any time was (20 c) at the left end
and (50 c) at the right end. Select the
correct value of coefficient (c) for the
* following equations
-2
u(x,t) = bx + c + [A cos 2x + B sin Ax]e a²
2-
50
20
No one
100

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