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📘 Second Order Linear Homogeneous Differential Equations | General Case | Step-by-Step Solution In this video, we explain Second Order Linear Homogeneous Differential Equations (General Case) in a clear and step-by-step manner. This lecture helps you understand the theory, solution method, and important cases with proper mathematical reasoning—perfect for competitive exams and university courses. 🔹 Topics Covered: Definition of second order linear homogeneous differential equations General form of the equation Auxiliary (Characteristic) equation Solution for different roots: Real and distinct roots Real and equal roots Complex conjugate roots Writing the general solution clearly Common mistakes to avoid in exams 🎯 Who should watch this video? IIT-JEE & JEE Advanced aspirants B.Tech / B.Sc / Engineering Mathematics students GATE, ESE & other competitive exam aspirants Anyone learning Differential Equations from basics 📌 This lecture is part of a Differential Equations series, so make sure to check out the other videos on first order and second order ODEs.