- #1
TobyDarkeness
- 38
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thanks allot they worked out fine, just another quick question if could help.
A semi-infinite bar 0<x<infinity is subject to periodic heating at x=0; the temperature at x=0 is T_0cos[tex]\omega[/tex]t and is zero at x=infinity. By solving the heat equation show that
T(x,t)= T_0exp([tex]\alpha[/tex]x)cos([tex]\omega[/tex]t-x[tex]\sqrt{\omega}[/tex])
where alpha is a constant to be determined.
I know we have to separate the variables and solve the t dependence first, but its not really working. Any advice on how to tackle this question appropriately.
A semi-infinite bar 0<x<infinity is subject to periodic heating at x=0; the temperature at x=0 is T_0cos[tex]\omega[/tex]t and is zero at x=infinity. By solving the heat equation show that
T(x,t)= T_0exp([tex]\alpha[/tex]x)cos([tex]\omega[/tex]t-x[tex]\sqrt{\omega}[/tex])
where alpha is a constant to be determined.
I know we have to separate the variables and solve the t dependence first, but its not really working. Any advice on how to tackle this question appropriately.