Higher Order Differential Equations | VTU Particular Integral Type 3 Polynomial C.F+P.I Problems

This video lecture focuses on solving higher order differential equations, specifically those with constant coefficients, using the method of particular integral. We will be discussing the concept of particular integral of differential equation polynomial and how to find the particular integral of polynomial functions. The video covers higher order linear differential equations with constant coefficients examples, which are essential for engineering mathematics, particularly for students taking the bmatec301 module 4 higher order differential equations course. The method of particular integral is a crucial technique for solving differential equations, and this video will guide you through the process of finding the particular integral of differential equation using polynomial functions. By the end of this video, you will have a clear understanding of how to solve higher order differential equations using the particular integral method, which is a fundamental concept in engineering mathematics and higher order differential equations. The video provides a step-by-step solution to higher order linear differential equations with constant coefficients, making it easier for students to grasp the concept and apply it to solve problems. The particular integral method 3 is also discussed in detail, providing a comprehensive understanding of the topic.

🔥Plz refer the previous videos on type 1 and type 2
   • 🚀 Particular Integral Type 1 e^ax Higher O...   -Linear higher order differential equation particular integral e^ax form
   • VTU Higher Order Differential Equations Pa...   Higher Order differential equation sinax or cosax form complementary factor + particular integral examples.

✅ VTU Syllabus Codes Covered
18MAT21, 21MAT21, BMATC101, BMATE101, BMATM101, 1BMATC101, 1BMATM101, BMATEC301

📝 Problems Solved in This Video (Particular Integral Type 3 or method 3)

Solve: y'' + 3y' + 2y = 12x^2
Solve: (D^2 + D) y = x^2 + 2x + 4
Follow along step-by-step to learn how to solve these exam-important problems in cf and pi in differential equations engineering mathematics

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