human
Complete the below
@vectorize(0)
def odesimp(eq, func, order, constants, hint):

    ''''Simplifies ODEs, including trying to solve for ``func`` and running
    :py:meth:`~sympy.solvers.ode.constantsimp`.
    It may use knowledge of the type of solution that the hint returns to
    apply additional simplifications.
    It also attempts to integrate any :py:class:`~sympy.integrals.Integral`\s
    in the expression, if the hint is not an ``_Integral`` hint.
    This function should have no effect on expressions returned by
    :py:meth:`~sympy.solvers.ode.dsolve`, as
    :py:meth:`~sympy.solvers.ode.dsolve` already calls
    :py:meth:`~sympy.solvers.ode.odesimp`, but the individual hint functions
    do not call :py:meth:`~sympy.solvers.ode.odesimp` (because the
    :py:meth:`~sympy.solvers.ode.dsolve` wrapper does).  Therefore, this
    function is designed for mainly internal use.
    Examples
    >>> from sympy import sin, symbols, dsolve, pprint, Function
    >>> from sympy.solvers.ode import odesimp
    >>> x , u2, C1= symbols(\'x,u2,C1\')
    >>> f = Function(\'f\')
    >>> eq = dsolve(x*f(x).diff(x) - f(x) - x*sin(f(x)/x), f(x),
    ... hint=\'1st_homogeneous_coeff_subs_indep_div_dep_Integral\',
    ... simplify=False)
    >>> pprint(eq, wrap_line=False)
    x
    f(x)
    |   /        1   \
    |  -|u2 + -------|
    |   |        /1 \|
    |   |     sin|--||
    |   \        \u2//
    log(f(x)) = log(C1) +   |  ---------------- d(u2)
    |          2
    |        u2
    >>> pprint(odesimp(eq, f(x), 1, {C1},
    ... hint=\'1st_homogeneous_coeff_subs_indep_div_dep\'
    ... )) #doctest: +SKIP
    x
    --------- = C1
    /f(x)\
    tan|----|
    \2*x /'
    '''

=====
What is a the Python program you requested?
assistant
#Here is the Python program you requested.
    x = func.args[0]
    f = func.func
    C1 = get_numbered_constants(eq, num=1)
    eq = _handle_Integral(eq, func, order, hint)
    if hint.startswith('nth_linear_euler_eq_nonhomogeneous'):
        eq = simplify(eq)
    if (not isinstance(eq, Equality)):
        raise TypeError('eq    should    be    an    instance    of    Equality')
    eq = constantsimp(eq, constants)
    if ((eq.rhs == func) and (not eq.lhs.has(func))):
        eq = [Eq(eq.rhs, eq.lhs)]
    if ((eq.lhs == func) and (not eq.rhs.has(func))):
        eq = [eq]
        if hint.startswith('nth_linear_constant_coeff'):
            global collectterms
            try:
                collectterms.sort(key=default_sort_key)
                collectterms.reverse()
            except Exception:
                pass
            assert ((len(eq) == 1) and (eq[0].lhs == f(x)))
            sol = eq[0].rhs
            sol = expand_mul(sol)
            for (i, reroot, imroot) in collectterms:
                sol = collect(sol, (((x ** i) * exp((reroot * x))) * sin((abs(imroot) * x))))
                sol = collect(sol, (((x ** i) * exp((reroot * x))) * cos((imroot * x))))
            for (i, reroot, imroot) in collectterms:
                sol = collect(sol, ((x ** i) * exp((reroot * x))))
            del collectterms
            sol = powsimp(sol)
            eq[0] = Eq(f(x), sol)
    else:
        try:
            floats = any((i.is_Float for i in eq.atoms(Number)))
            eqsol = solve(eq, func, force=True, rational=(False if floats else None))
            if (not eqsol):
                raise NotImplementedError
        except (NotImplementedError, PolynomialError):
            eq = [eq]
        else:
            def _expand(expr):
                (numer, denom) = expr.as_numer_denom()
                if denom.is_Add:
                    return expr
                else:
                    return powsimp(expr.expand(), combine='exp', deep=True)
            eq = [Eq(f(x), _expand(t)) for t in eqsol]
        if...