5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation 22 t with c24 to determine the = temperature u of any point in the bar at time t.

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5 An insulated uniform metal bar, 10 units long, has the temperature of
its ends maintained at 0°C and at t=0 the temperature distribution
f(x) along the bar is defined by f(x) = x(10-x). Solve the heat
2²u 1 ди
conduction equation
with c²4 to determine the
ах2 c2 at
temperature u of any point in the bar at time t.
=
Transcribed Image Text:5 An insulated uniform metal bar, 10 units long, has the temperature of its ends maintained at 0°C and at t=0 the temperature distribution f(x) along the bar is defined by f(x) = x(10-x). Solve the heat 2²u 1 ди conduction equation with c²4 to determine the ах2 c2 at temperature u of any point in the bar at time t. =
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