Engineering Mathematics-II Unit 1 Important Questions AKTU

AKTU · BTECH · Semester 2 · Engineering Mathematics-II · Unit 1 · Important Question

AKTU Engineering Mathematics-II (BAS203) Unit 1 important questions for B.Tech Semester 2 – Ordinary Differential Equation of Higher Order. Topics: Linear…

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Unit 1: Ordinary Differential Equation of Higher Order – AKTU syllabus topics

  • Linear ODE Constant Coefficients: Complementary Function and PI, Simultaneous Linear ODE
  • Variable Coefficient ODE: Change of Independent Variable, Variation of Parameters Method
  • Cauchy-Euler Equation
  • Engineering Applications of ODE

Most asked AKTU PYQ questions from Unit 1

  1. Q3a. Solve d²y/dx² + y = tan x by method of variation of parameter. (10 marks, 2018-19)
  2. Q3b. Solve the following set of simultaneous linear differential equations: dx/dt = 3x + 8y; dy/dt = −x − 3y (7 marks, 2024-25)
  3. Q3b. Solve the simultaneous differential equations: dx/dt + 2x − 3y = 0; dy/dt − 3x + 2y = 0 (7 marks, 2023-24)
  4. Q2a. Solve using method of variation of parameters: y'' + y = cosec x (7 marks, 2023-24)
  5. Q1b. Find the Particular Integral for the following differential equation: y'' − 8y' + 16y = e^(4x) (2 marks, 2024-25)
  6. Q1a. Find the Particular Integral of (D² − 4D + 4)y = e^(2x) (2 marks, 2023-24)
  7. Q1b. Solve simultaneous equations dx/dt = 3y, dy/dt = 3x (2 marks, 2018-19)
  8. Q1a. Find the P.I of d²y/dx² + 4y = sin 2x (2 marks, 2018-19)
  9. Q3a. Use the variation of parameter method to solve the differential equation (D² − 1)y = 2(1 − e^(−2x))^(−1/2). (10 marks, 2021-22)
  10. Q3b. Solve: (1 + x)² d²y/dx² + (1 + x) dy/dx + y = 4 cos log(1 + x). (10 marks, 2021-22)

AKTU paper codes: BAS203, KAS203

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