In order to solve problems of ordinary differential equations（ODEs） for vehicle transmission’s torsion vibration numerically many complex calculations of matrix are involved.This paper introduces a new programming method for developing a solver which integrates Microsoft Visual C++ with Matcom.With the help of this solver the eigenvalues and eigenvectors of a torsion vibration was computed.The comparison with original data and analyzed results of AMESim shows the accordance and the validation of the method.So it can be concluded that programming with Matcom is a right and efficient way to solve this kind of problem.