Engineering Mathematics-II Unit 2 – Laplace Transform: important questions for AKTU
Unit 2 (Laplace Transform) questions that AKTU repeats most often. This unit carries about 15 marks per paper. Start with the repeated questions, then the most asked topics.
Most repeated Unit 2 questions
- Use convolution theorem to evaluate L⁻¹[ p² / (p²+4)(p²+9) ] (7 marks, 2025, Inverse Laplace Transform) – also asked in 2022, 2023, 2024
- Solve the following differential equations using Laplace Transform: d³y/dt³ + 2d²y/dt² − dy/dt − 2y = 0; y(0) = 1, y'(0) = y''(0) = 2 (7 marks, 2025, Applications of Laplace Transform) – also asked in 2022, 2023, 2024
- Using Laplace Transform, solve: y'' + 3y' + 2y = e^(−t), y(0) = 0, y'(0) = 1 (7 marks, 2024, Applications of Laplace Transform) – also asked in 2022, 2023, 2025
Most important Unit 2 topic
- Laplace Transform Fundamentals (Unit 2: Laplace Transform) – asked 6 times in 2023, 2024, 2025
Most asked Unit 2 topics
- Laplace Transform Fundamentals – asked 6 times
- Inverse Laplace Transform – asked 5 times
- Applications of Laplace Transform – asked 3 times
More Unit 2 previous year questions
- Find Laplace Transform of f(t) = sin 2t cos 3t. (2 marks, 2025, Laplace Transform Fundamentals)
- Find inverse Laplace Transform of F(s) = (s−1)/(s²+3s+2). (2 marks, 2025, Inverse Laplace Transform)
- Find the Laplace Transform of the following function: ∫₀ᵗ (eᵗ sin t / t) dt. (7 marks, 2025, Laplace Transform Fundamentals)
- Find the Laplace Transform of t⁴e^(2t) (2 marks, 2024, Laplace Transform Fundamentals)
- Using convolution theorem, find the Inverse Laplace Transform of 1 / [(s²+a²)(s²+b²)] (7 marks, 2024, Inverse Laplace Transform)
Unit 2 syllabus topics
- Laplace Transform Fundamentals
- Special Functions Laplace Transform
- Inverse Laplace Transform
- Applications of Laplace Transform