about two point Boundary Value problem

2015 6 7
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更新时间：2015 6 8
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Numerical integration of the initial value problem
y''+ y'− y = 0
y(0) = 0
yielded y(1) = 0.741028.
What is the value of y(0) = (0) that would result in y(1) = 1, assuming that y(0) is unchanged?

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回答（1 个）

Walter Roberson
Walter Roberson 2015-6-8

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Use the symbolic toolbox and dsolve()
The answer comes out as
(exp(x*sqrt(5))-1)*exp(-(1/2*(x-1))*(sqrt(5)+1))/(exp(sqrt(5))-1)
if you simplify it the right way.

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