The current paper outlines a new algorithm, which is used to determine the exact solutions of
ODEs and the similarity transformations of PDEs whose the invariant groups are known. Three groups of
formulations (named by HAMAD Formulations) are presented: (I) Formulations for the exact solutions of
ODE. (II) Formulations for similarity transformations of PDEs contains two independent variables. (III)
Formulations for similarity transformations of PDEs contains three independent variables. By using these
formulations enable readers can calculate the similarity transformations which transform PDEs to ODEs
and also can calculate exact solutions of ODEs . Some examples are presented.