🚀 Particular Integral Type 1 e^ax Higher Order Differential Equations | VTU Engineering Mathematics

   • Correction to problem (D^2-4D+4)y=sinh2x+3^x   Let's start finding the 📌Particular Integral for Higher Order Differential Equations. Today, we will solve Particular Integral Type 1, where the right-hand side is of the form e^Ax In differential equations of higher order, the general solution is: ✨y = Complementary Function (C.F.) + Particular Integral (P.I.) Particular Integral – Type 1 e^ax/f(D) If you haven't watched the previous video on linear higher order differential equations with constant coefficients , please check it first — it is very important for understanding Complementary Functions. ▶️ Watch here:    • ⭐Solve (4d⁴ - 8d³ - 7d² + 11d + 6)y=0 &(4d...   ✅ VTU Syllabus Codes Covered 18MAT21, 21MAT21, BMATC101, BMATE101, BMATM101, 1BMATC101, 1BMATM101, 1BMATE101, BMATEC301 📝 Problems Solved in This Video (Particular Integral Type 1 or case 1) (6D² + 17D + 12) y = e^(-x) + 4 (D² - 4D + 4) y = sinh(2x) + 2^x (D⁴ - 18D² + 81) y = 36 e^x Follow along step-by-step to learn how to solve these exam-important problems 📝 📚 Playlists for Chapter-wise Engineering Mathematics & Polytechnic Subjects Engineering Mathematics 1 Playlist:    • 21MAT21 VTU ADVANCED CALCULUS AND NUMERICA...   Engineering Mathematics 2 Playlist:    • 21MAT11 | CALCULUS AND DIFFERENTIAL EQUATI...   These playlists cover all universities across India and help you prepare for exams efficiently 🎯 01:30 Introduction to particular integral type 1 where RHS is e^ax 10:40 (6D² + 17D + 12) y = e^(-x) + 4 17:52 (D² - 4D + 4) y = sinh(2x) + 2^x 28:00 (D⁴ - 18D² + 81) y = 36 e^x Correction: 25:22 really sorry i went with flow and forgot the basics actually (log3)^2 keep it as it is in solution 25:30 (log3)^2 not equal to 2log3 bcoz the formula is log(a)^k=klog a . 25:36 Sorry for mistake So (log3)^2 keep it as it is in solution till end 🌐 Useful Links Website: https://mudassiracademy.com/ Engineering Tuition Bangalore: https://engineeringtuitionbangalore.com/ 📱 Social Media Facebook:   / themudassiracademy   Twitter:   / muddasiracademy   Instagram:   / themudassiracademy   🔥 Don’t forget to Like 👍, Share 📤, and Subscribe 🔔 for more Engineering Mathematics tutorials. Comment below if you want more Particular Integral or Differential Equations problems solved. #EngineeringMathematics #VTU #DifferentialEquations #ParticularIntegral #HigherOrderDE #EngineeringMathematics #HigherOrderDifferentialEquations #LinearDifferentialEquations #ConstantCoefficientODE #ParticularIntegral #BMATEC301 #21MAT21 #ComplementaryFunction #DifferentialEquations #ODE#HigherOrderODE #EngineeringMath