- Thread starter
- #1

question 9, page 10:

Find the values of [tex]k[/tex] for which the following equation has solutions that aren't identically zero. If [tex]k\neq 0[/tex], find representative solutions:

[tex]\int_{-\pi}^{\pi} \sin(x+y)u(y)dy = ku(x)[/tex]

What I have done so far is the following:

denote by [tex]c_1=\int \cos(y)u(y)dy,\ c_2=\int \sin(y)u(y)dy[/tex]

so we have:[tex]c_1\sin(x)+c_2 \cos(x)=ku(x)[/tex], so I found represntaive solutions, but how do I find the values of k?

Thanks in advance.