in this book I have by G.L Squires. One of the questions is:(adsbygoogle = window.adsbygoogle || []).push({});

if [tex]\phi[/tex]_{1}and [tex]\phi[/tex]_{2}are normalized eigenfunctions corresponding to the same eigenvalue. If:

[tex]\int[/tex][tex]\phi[/tex]_{1}*[tex]\phi[/tex]_{2}d[tex]\tau[/tex] = d

where d is real, find normalized linear combinations of [tex]\phi[/tex]_{1}and

[tex]\phi[/tex]_{2}that are orthogonal to a) [tex]\phi[/tex]_{1}b) [tex]\phi[/tex]_{1}+ [tex]\phi[/tex]_{2}

the part I'm having trouble with is finding a linear combination. The book gives: c1phi1 + c2phi2 (to shorten it) as the linear combo but yeah, whats the deal with that. they give a solution for a but yeah what is going on there. whats the process involved. yes, I am basically asking for a "tutor" so to speak, so I am n0t asking for any old person to help me but someone who is willing to explain it without becoming angry that I know not of such things.

thanks in advance!

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# Question on orthogonal eigenfunctions

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