khanacademy.org
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Khan Academy is a free online learning platform offering structured math courses with video lessons, interactive practice, and quizzes. For second-order ODEs, you’ll find tutorials on solving second-order differential equations (homogeneous/inhomogeneous, characteristic equations, method of undetermined coefficients, variation of parameters) plus practice problems.
More resources on Second-Order ODEs
Khan Academy Differential Equations
Interactive lessons on second-order ODEs
Paul's Online Notes - Differential Equations
Detailed notes on second-order ODEs with examples
Differential Equations
Master second-order ODEs! Learn to solve these equations & understand their applications with this comprehensive course.
Differential Equations
Master second-order ODEs with this MIT course by Mattuck et al. Explore differential equations and enhance your problem-solving skills.
Differential Equations for Engineers
This course is all about differential equations and covers both theory and applications. In the first five weeks, students will learn about ordinary differential equations, while the sixth week is an introduction to partial differential equations. The course includes 56 concise lecture videos, with a few problems to solve after each lecture. After each major topic, there is a short practice quiz. At the end of each week, there is an assessed quiz. Solutions to the problems and practice quizzes can be found in the instructor-provided lecture notes. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/differential-equations-for-engineers.pdf Watch the promotional video from the link https://youtu.be/eSty7oo09ZI
ocw.mit.edu
MIT OpenCourseWare offers free, openly licensed course materials from MIT across many subjects, including differential equations. The site includes lecture notes, assignments, exams, and multimedia resources from real MIT courses, making it a great resource for learning second-order ODEs and related topics.