fix: fix remake with value dependent on indepvar

Author: AayushSabharwal

src/remake.jl

@@ -711,6 +711,9 @@ function _updated_u0_p_symmap(prob, u0, ::Val{true}, p, ::Val{true}, t0)
     end
 
     varmap = merge(u0, p)
+    if is_time_dependent(prob)
+        varmap[only(independent_variable_symbols(prob))] = t0
+    end
     for (k, v) in u0
         u0[k] = symbolic_type(v) === NotSymbolic() ? v : symbolic_evaluate(v, varmap)
     end

test/downstream/modelingtoolkit_remake.jl

@@ -239,3 +239,12 @@ end
     prob2 = remake(prob; u0 = [x => p], p = [:p => 2.0])
     @test prob2[x] ≈ 2.0
 end
+
+@testset "remake dependent on indepvar" begin
+    @variables x(t)
+    @parameters p
+    @mtkbuild sys = ODESystem([D(x) ~ x * p], t)
+    prob = ODEProblem(sys, [x => 1.0], (0.0, 1.0), [p => 1.0])
+    prob2 = remake(prob; u0 = [x => t + 3.0])
+    @test prob2[x] ≈ 3.0
+end