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Question: Solve a weird Differential Equation

Question:Solve a weird Differential Equation

DarthVid 16 Maple
error plot input
April 21 2010
0

Greetings,

I am triying to plot the solution of the next differential equation:

-diff(x*(diff(u(x), x)), x)+u(x) = 0

With the ics:

u(0) = 1

x*D(u)(x)=0 when x=1.

How can I do that?

I tried to get the solution using numeric methods, but I have the message:

Error, (in dsolve/numeric/bvp) system is singular at left endpoint, use midpoint method instead
 

 I tried to use midpoint method and I still get an error message.

Error, (in dsolve/numeric/process_input) indication of the unknown(s) of the problem {midpoint} disagrees with input system {u(x)}

 

What am I doing wrong?

Thanks in advance.
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