Engineering Mathematics-II (BAS203) AKTU predicted paper 2026-27
AI-predicted paper for Engineering Mathematics-II based on 5 past papers (2019, 2022, 2023, 2024, 2025). NOT an official AKTU paper. Use as a revision tool only.
Paper pattern
- Section A: Attempt all questions. (14 marks)
- Section B: Attempt any THREE questions out of five. (21 marks)
- Section C: Attempt ONE question from each pair (a or b). (35 marks)
Why these questions
- Unit 1 (Ordinary Differential Equation of Higher Order) dominates — 30% avg weightage
- Asked every year: Linear ODE Constant Coefficients, Tests for Convergence
- Due for comeback: Conformal Mapping
- Low priority (never asked): Engineering Applications of ODE, Complex Variable Functions
- Most repeated topic: Analytic Functions
Section A – 2-mark questions
- Find the Particular Integral for the following differential equation: y'' − 8y' + 16y = e^(4x)
- Find inverse Laplace Transform of F(s) = (s−1)/(s²+3s+2).
- Write a short note on Tests for Convergence.
- Show that the following function is harmonic: h(x, y) = x² + xy − y²
- Evaluate ∫_C (z² + 1) / (z² − 1) dz using Cauchy Integral Formula where C: |z − 1| = 1
- Write a short note on Variable Coefficient ODE.
- Find the residue at the simple pole of the following function: f(z) = 8z³ / [(z−1)(z+1)³]
Section B – sample questions
- Test the convergence of the following series: ∑ [1·3·5…(2n−1) / 2·4·6…(2n)] x^(2n), n=1 to ∞
- Use convolution theorem to evaluate L⁻¹[ p² / (p²+4)(p²+9) ]
- Using Cauchy Integral formula evaluate ∫_c sin z / (z² + 25) dz where c is circle |z| = 8