U1L21 Unit 1 Complete Revision | All Topics & Exam Problems | BAS203 | AKTU Sem 2 Eng Maths 2
ENGINEERING MATHEMATICS-II (BAS203) | AKTU B.Tech 1st Year Sem 2
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In this video lecture with notes, we do a complete revision of Unit 1: Ordinary Differential Equations of Higher Order – covering all important topics, problem types, and exam patterns.
📌 Topics Covered in this Revision:
Topic Problems
C.F. & P.I. (Constant Coefficients) (D-2)³y = 17e²ˣ, y" + 3y' + 2y = 3ˣ
P.I. for sin/cos (Failure Case) y" + 4y = sin 2x
Mixed Product Functions y" + 4y' + 4y = 8x²·e²ˣ·sin x
Euler-Cauchy (Homogeneous DE) x²y" + 2xy' - 12y = 0
Changing of Independent Variable y" - cot x y' - sin²x y = cos x
Variation of Parameters y" + y = sec x·tan x
Simultaneous DE System of equations with x and y
0:00 – Introduction to Unit 1 Revision
0:08 – Problem 1: (D-2)³y = 17e²ˣ
3:18 – Problem 2: y" + 3y' + 2y = 3ˣ
6:36 – Problem 3: y" + 4y = sin 2x (Failure Case)
8:02 – Problem 4: y" + 4y' + 4y = 8x²·e²ˣ·sin x
12:56 – Problem 5: x²y" + 2xy' - 12y = 0 (Euler-Cauchy)
17:05 – Problem 6: (dy/dx + 1/x²)² y = x⁻⁴ (Practice)
19:08 – Problem 7: y" - 4y' - 5y = e²ˣ + cos 4x + 5
20:51 – Problem 8: Simultaneous DE System
25:47 – Problem 9: y" - cot x y' - sin²x y = cos x (Changing of Independent Variable)
30:12 – Problem 10: y" + y = sec x·tan x (Variation of Parameters)
This video is part of our ENGINEERING MATHEMATICS-II complete syllabus playlist for AKTU first year sem 2.
Useful for all branches – AKTU CSE, CS, IT, EC, EE, ME, CE – basically AKTU BTech first year students.
✅ Why watch this revision?
• Complete coverage of Unit 1 syllabus
• Exam-focused problem solving
• Important formulas and tricks
• Common mistakes highlighted
• Perfect for last-minute AKTU semester exam preparation
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