The Differential Equations course (XM531) offered by Stanford University's Pre-Collegiate University-Level Online Math & Physics program is designed to equip students with basic techniques and methods for solving ordinary differential equations. The curriculum encompasses a variety of topics, including linear, separable, and exact equations, existence and uniqueness theorems, difference equations, and basic theory of higher order equations. It also covers variation of parameters, undetermined coefficients, series solutions, Laplace transform, and systems of equations. The course is delivered online and requires Multivariable Differential Calculus and Linear Algebra or an equivalent as prerequisites for enrollment. The required text for this course is 'Elementary Differential Equations' by Boyce and DiPrima, starting from the 6th edition or later versions. While the course's exact duration and schedule are not specified, participants are expected to have a solid understanding of calculus and linear algebra before commencing the course. This suggests a relatively advanced level of study, presumably catered to those with some prior exposure to higher-level mathematics. Upon completion of the course, students will have gained a comprehensive understanding of the basic techniques and methods used in solving ordinary differential equations. This will equip them with a strong foundation in a pivotal subject area of mathematics, which is widely applicable in various fields of study such as physics, engineering, and economics.