(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

solve the BVP: y'' -2y' + 2y = 0 ... (1)

reduction

y(0) = 1

y(pi) = 1

2. Relevant equations

y= e^{mx}

3. The attempt at a solution

substitution y=e^{mx}& its derivatives in (1) we get:

m^{2}-2m +2 = 0 = (1+i)(1-i)

then y = e(c_{1}sinx + c_{2}cosx)

using the conditions given we have:

y(0) = 1 = c_{2}cosx implies: c_{2}= 1/e

&

y(pi) = 1 = -ec_{2}implies: c_{2}= -1/e

we thus have that c_{2}= 1/e = -1/e which is impossible & thus the BVP has apparently no solution.

Is my solution correct?

Note that im taking a course in Ordinary D.E.'s

thx in advance

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# Homework Help: Help needed in Boundary V.P

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