You can use the base function ave()
for this
df <- data.frame(group=rep(c(1,2),each=3),value=c(10,20,25,5,10,15))
df$diff <- ave(df$value, factor(df$group), FUN=function(x) c(NA,diff(x)))
which returns
group value diff
1 1 10 NA
2 1 20 10
3 1 25 5
4 2 5 NA
5 2 10 5
6 2 15 5