using DifferentialEquations,Symbolics
function ode_imp(du,u,p,t)
du[1] = u[1]
end
function ode_exp(du,u,p,t)
du[1] = u[1]
end
u0 = [1.0]
du = similar(u0)
p = ()
jac_imp = Symbolics.jacobian_sparsity(ode_imp,du,u0,p,0.0)
jac_exp = Symbolics.jacobian_sparsity(ode_exp,du,u0,p,0.0)
f1 = ODEFunction(ode_imp,jac_prototype = jac_imp)
f2 = ODEFunction(ode_exp,jac_prototype = jac_exp)
prob = SplitODEProblem(f1,f2,u0,(0.0,1.0),p)
sol = solve(prob)