*23*

*Integral equations*

**23.1***Solve the integral equation*

*for the function y* = *y*(*x*) *for x >* 0*. Note that for x <* 0, *y*(*x*) *can be chosen as is most convenient.*

Since cos *uv* is an even function of *v*, we will make *y*(−*v*) = *y*(*v*) so that the complete integrand is also an even function of *v*. The integral *I* on the LHS can then be written as

the last step following ...

Start Free Trial

No credit card required