acquiesce

Short definition from Wiktionary

Verb

1. 1
   To rest satisfied, or apparently satisfied, or to rest without opposition and discontent (usually implying previous opposition or discontent); to accept or consent by silence or by omitting to object.
2. 2
   To concur upon conviction; to accept tacitly; to assent to; usually, to concur, not heartily but so far as to forbear opposition.