class_docstr: Geodesic boundary value problem using an ODE solver.
  
  Parameters
  ----------
  n_nodes : Number of mesh nodes.
  integrator : ScipySolveBVP
      Instance of ScipySolveBVP.
  initialization : callable
      Function to provide initial solution. `f(space, point, base_point)`.
      Defaults to linear initialization.
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docstr: Boundary value problem.
  
  Parameters
  ----------
  _ : float
      Unused.
  raveled_state : array-like, shape=[2*dim, n_nodes]
      Vector of state variables (position and speed).
  
  Returns
  -------
  sol : array-like, shape=[2*dim, n_nodes]
code: def _bvp(self, _, raveled_state, space):
      """Boundary value problem.
  
      Parameters
      ----------
      _ : float
          Unused.
      raveled_state : array-like, shape=[2*dim, n_nodes]
          Vector of state variables (position and speed).
  
      Returns
      -------
      sol : array-like, shape=[2*dim, n_nodes]
      """
      state = gs.moveaxis(
          gs.reshape(raveled_state, (2, space.dim, -1)), -2, -1
      )
  
      eq = space.metric.geodesic_equation(state, _)
  
      return gs.reshape(gs.moveaxis(eq, -2, -1), (2 * space.dim, -1))
  
imports: import math
  from abc import ABC, abstractmethod
  import geomstats.backend
  from geomstats.numerics.bvp import ScipySolveBVP
  from geomstats.numerics.ivp import GSIVPIntegrator
  from geomstats.numerics.optimizers import ScipyMinimize
  from geomstats.vectorization import get_batch_shape
label_desc: Use image node_id 5 for calling the LogODESolver obj's underlying member method code with example usage: obj._bvp(_, raveled_state, space) and returns: gs