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Differential Equations/Differential equation

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Question
diff equation
diff equation  
Dear Sir,
Kindly find the attachment.
In that Eq. (59) is deduced from Eq. (58) using the standard procedure in differential equations.
But I don't know how to proceed them.
Please suggest me that elementary procedure.

Answer
There does seem to be some missing information here. The term \lambda_0 T has mysteriously become C(k) e^() with a sqrt of \lambda appearing. I would need to know what this 'standard procedure' is, as it is not
obvious at all. We might suppose T is some function of exp (\tau) but that needs to come from somewhere else.

Bob.

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Differential Equations

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Bob Marlow

Expertise

Questions on partial differential equations, particularly solution of time-dependent ones, and particularly parabolic. I have some knowledge of ODEs, but am out of practice with them.

Experience

My thesis was in this area.

Organizations
Headingley Signs

Publications
International Journal of Computers and Fluids, July 2011. Moving mesh methods for solving parabolic partial differential equations R. Marlow , M.E. Hubbard, P.K. Jimack.

Education/Credentials
PhD in computer science

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