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.
class_docstr_tok: ["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","."]
code: def _solve(self, space, point, base_point):
      bvp = lambda t, state: self._bvp(t, state, space)
      bc = lambda state_0, state_1: self._boundary_condition(
          state_0, state_1, space, base_point, point
      )
  
      jacobian = None
      if self.use_jac:
          jacobian = lambda t, state: self._jacobian(
              t, state, space=space
          )
  
      y = self.initialization(space, point, base_point)
  
      return self.integrator.integrate(
          bvp, bc, self.grid, y, fun_jac=jacobian
      )
  
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 7 for calling the LogODESolver obj's underlying member method code with example usage: obj._solve(space, point, base_point) and returns: self