Mutual

Mutual - (Webster's 1828 Dictionary)

MU'TUAL, a. [L. mutuus, from muto, to change.]

Reciprocal; interchanged , each acting in return or correspondence to the other; given and received. Mutual love is that which is entertained by two persons each for the other; mutual advantage is that which is conferred by one person or another,and received by him in return. So we say, mutual assistance, mutual aversion.

And, what should most excite a mutual flame,

Your rural cares and pleasures are the same.