This comprehensive text is unique in its coverage of both partial and ordinary differential equations. Written in simple language appropriate for beginners, it provides detailed exposition of the full range of analytical solution techniques, which are illustrated by the solutions of preset differential equations via software. The software also allows independent exploration of user-supplied problems in a computer laboratory setting, which is fully accessible to a beginner since it does not require programming experience or knowledge of a computer algebra system. Figure slides and a solutions manual are available with qualifying course adoption.