The study of differential equations is a fundamental subject area of Mathematics that naturally connects pure Mathematics with applied and computational Mathematics and assists in the investigation of various physical model problems. Differential equations provide a natural mathematical description of phenomena in the physical and biological sciences. We intend to rigorously discuss the well-posedness of the solution of ordinary and partial differential equations, as well as stability analysis, during this workshop. Since finding a closed and analytical solution to differential equations may not always be possible, various numerical techniques for obtaining efficient and robust numerical solutions will also be discussed. MATLAB sessions will also be conducted in the computer lab to have a better understanding of convergence analysis and the employability of the numerical methods. Participants will get an opportunity to interact and exchange ideas with experts on their research problems. Through this workshop, we plan to expose young researchers and faculty members, who are interested in applied and computational mathematics.