code: def test_simulate():
      """Tests the integration in DifferentialEquation"""
  
      # Create an ODe to integrate
      def ode_func(y, t, p):
          return np.exp(-t) - p[0] * y[0]
  
      # Evaluate exact solution
      y0 = 0
      t = np.arange(0, 12, 0.25).reshape(-1, 1)
      a = 0.472
      y = 1.0 / (a - 1) * (np.exp(-t) - np.exp(-a * t))
  
      # Instantiate ODE model
      ode_model = DifferentialEquation(
          func=ode_func, t0=0, times=t, n_states=1, n_theta=1
      )
  
      simulated_y, sens = ode_model._simulate([y0], [a])
  
      assert simulated_y.shape == (len(t), 1)
      assert sens.shape == (len(t), 1, 1 + 1)
      np.testing.assert_allclose(y, simulated_y, rtol=1e-5)
  
imports: import warnings
  import numpy
  import pytensor
  import pytensor.tensor
  import pytest
  from scipy.stats import norm
  import pymc
  from pymc.ode import DifferentialEquation
  from pymc.testing import fast_unstable_sampling_mode
label_desc: Use image node_id 1 for calling a global function with example usage: test_simulate() and returns: unknown