...When the woman shook her head in bewilderment, Harry went on to explain that 'myrolite' was a hard, amber-like substance which could be used to remove freckles. This explanation evidently conveyed something to the woman who searched shelf after shelf. She produced all sorts of weird concoctions, but none of them met with Harry's requirements.

请教老师：meet with sth 和 meet sth - 这里含义有什么差别？这里可以替换成met Harry's requirements 吗？