The selection of the Laplace Transformation as my thesis' topic resulted from my experience with dynamic systems, and past observations of the usefulness of this transformation when ·applied to simultaneous systems of linear ordinary differential equations. The aims of the thesis work ·were two-fold: (1) to determine and set forth the more important properties of the Laplace Transformation, particularly with regard to applications to systems of linear ordinary differential equations; (2) to make use of the transformation in obtaining an exact solution for the equations which describe the controls free longitudinal motion of aircraft in response to a disturbance.