Engineering Mathematics-II Unit 1 – Ordinary Differential Equation of Higher Order: important questions for AKTU
Unit 1 (Ordinary Differential Equation of Higher Order) questions that AKTU repeats most often. This unit carries about 42 marks per paper. Start with the repeated questions, then the most asked topics.
Most repeated Unit 1 questions
- Solve the following set of simultaneous linear differential equations: dx/dt = 3x + 8y; dy/dt = −x − 3y (7 marks, 2025, Linear ODE Constant Coefficients) – also asked in 2019, 2022, 2023, 2024
- Solve the simultaneous differential equations: dx/dt + 2x − 3y = 0; dy/dt − 3x + 2y = 0 (7 marks, 2024, Linear ODE Constant Coefficients) – also asked in 2019, 2022, 2023, 2025
- Solve using method of variation of parameters: y'' + y = cosec x (7 marks, 2024, Variable Coefficient ODE) – also asked in 2019, 2022, 2023, 2025
Most important Unit 1 topic
- Linear ODE Constant Coefficients (Unit 1: Ordinary Differential Equation of Higher Order) – asked 14 times in 2019, 2022, 2023, 2024, 2025
Most asked Unit 1 topics
- Linear ODE Constant Coefficients – asked 14 times
- Variable Coefficient ODE – asked 6 times
- Cauchy-Euler Equation – asked 3 times
More Unit 1 previous year questions
- Find the general solution of the following differential equation: d³y/dx³ + dy/dx = 0 (2 marks, 2025, Linear ODE Constant Coefficients)
- Find the Particular Integral for the following differential equation: y'' − 8y' + 16y = e^(4x) (2 marks, 2025, Linear ODE Constant Coefficients)
- Find the general solution of the differential equation y'' − 2y' + 2y = x + e^x cos x (7 marks, 2025, Linear ODE Constant Coefficients)
- Find the general solution of the differential equation: x² d²y/dx² − x dy/dx + 4y = x sin(log x). (7 marks, 2025, Cauchy-Euler Equation)
- Find the Particular Integral of (D² − 4D + 4)y = e^(2x) (2 marks, 2024, Linear ODE Constant Coefficients)
Unit 1 syllabus topics
- Linear ODE Constant Coefficients
- Variable Coefficient ODE
- Cauchy-Euler Equation
- Engineering Applications of ODE