Numerical solution of ordinary differential equations with impulse solution

This paper extends an earlier work [Appl. Math. Comput. 132 (2002) 341] to ordinary differential equations with impulse solution. In this case, the use of spectral methods, generally, dose not work well. Also it is shown that the modified spectral method (mentioned in [Appl. Math. Comput. 132 (2002) 341]) can be useful to solve the ODEs with impulse solution. In addition, with providing some examples, the aforementioned cases are dealt with numerically.