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In this lecture of First Year Engineering Mathematics, we learn how to solve Linear Differential Equations with Constant Coefficients of Higher Order using Complementary Functions (C.F). This lecture explains all possible cases of roots in the auxiliary equation such as: • Real and Distinct Roots • Real and Equal Roots • Complex and Distinct Roots • Complex and Equal Roots • Real, Irrational Roots (Distinct) • Real, Irrational Roots ( Equal) The Complementary Function plays an important role in solving higher order differential equations and understanding the general solution of linear differential equations. This lecture is explained in a simple and clear method so that engineering students can easily understand the concept. 📚 Subject: Engineering Mathematics 🎓 Level: First Year Engineering Channel: Friends Engineering Academy 👉How to Solve Cubic Equations • Cubic Equations (Factorisation) | Roots an... #engineeringmaths #lineardifferentialequations #complementaryfunction #engineeringmathematics #differentialequations #firstyearengineering #engineeringstudents #mathslecture #friendsengineeringacademy #engineeringmaths1 #differentialequations #engineeringmathematics #friendsengineeringacademy #firstyearengineering #engineeringeducation #engineeringmaths #fyengineering #engineeringstudents #mathsforengineers