Learn how to solve second order non-homogeneous differential equations step-by-step. In this video, we solve yʺ – 5yʹ + 6y = x² using the complementary function (C.F.) and particular integral (P.I.) method. You’ll understand: How to form and solve the auxiliary (characteristic) equation How to find the complementary function How to determine the particular integral when the right-hand side is a polynomial How to combine both to get the complete solution Perfect for students preparing for exams in Differential Equations, Calculus, Engineering Mathematics, and Physics. Second Order Homogeneous Differential Equations: • How to solve 2nd Order Homogeneous Differe... #DifferentialEquations #MathTutorial #EngineeringMath #Calculus #NonHomogeneousEquation #MathsMadeEasy #SEMacademy #MathsShorts #StudyWithMe #KhanAcademyStyle