Update init_params to initial_params (#432)

* Update `init_params` to `initial_params`

* update Manifests

* regen with Julia1.10

---------

Co-authored-by: Hong Ge <3279477+yebai@users.noreply.github.com>

Author: sunxd3

tutorials/10-bayesian-differential-equations/10_bayesian-differential-equations.jmd

@@ -436,7 +436,7 @@ chain_sde = sample(
     model_sde,
     NUTS(0.25),
     5000;
-    init_params=[1.5, 1.3, 1.2, 2.7, 1.2, 0.12, 0.12],
+    initial_params=[1.5, 1.3, 1.2, 2.7, 1.2, 0.12, 0.12],
     progress=false,
 )
 plot(chain_sde)