Lecture 25: Solve Homogeneous Differential Equations | Rules to Find C.F. Step-by-Step

Описание: 👋 Hello Future Mathematicians! Welcome back to Fractal Frontier Maths 🎓

Today we will learn the most important technique in Linear Differential Equations: How to find the Complementary Function (C.F.). We will discuss how to solve Homogeneous Linear Differential Equations with Constant Coefficients by finding the roots of the Auxiliary Equation.

✅ Definition of Homogeneous Linear Differential Equations.
✅ How to write the Auxiliary Equation (A.E.).
✅ Rules to write C.F. when roots are Real and Distinct.
✅ Rules to write C.F. when roots are Real and Equal.
✅ Rules to write C.F. when roots are Imaginary/Complex.
✅ Solved examples explaining each case clearly.
✅ This entire lecture is explained in clear Hindi for B.Sc. students.

This lecture is specifically designed for B.Sc. / Undergraduate Mathematics Students and Engineering (B.Tech) students studying Differential Equations.

In the previous lecture, we introduced the concept of Linear Differential Equations with Constant Coefficients and the operator 'D'. You must watch that to understand the basics used in this video! Watch here:    • Lecture 24: Introduction to Linear Differe...  

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