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Ordinary and Partial Differential Equation — Minor 1 2023 question paper

MMMUT Mechanical Engineering previous year question paper for Ordinary and Partial Differential Equation (BSM-102), semester 1, Minor 1 2023. All 8 questions are listed below, each with a written answer on Nexsus.

Paper details

  • Subject: Ordinary and Partial Differential Equation (BSM-102)
  • Branch: Mechanical Engineering
  • Semester: 1
  • Exam: Minor 1 2023
  • Questions: 8

Questions asked in Ordinary and Partial Differential Equation Minor 1 2023

  1. Q1. Attempt any Two parts of the following. Q. 1 (a) is compulsory.
  2. Q1(a). (i) Solve (D^2 + 4D + 4)y = 2sinhx (ii) Solve (x^2D^2 - xD + 4)y = cos(log x) + xsin(log x) [5 marks]
  3. Q1(b). Solve by transforming into the normal form [3 marks]
  4. Q1(c). Solve the equation (i) d^2x/dt^2 - 3x - 4y = 0 (ii) d^2y/dt^2 + x + y = 0 [3 marks]
  5. Q2. Attempt any Two parts of the following. Q. 2 (a) is compulsory.
  6. Q2(a). Solve 9x(1 - x)y" - 12y' + 4y = 0 in series of power of x [4 marks]
  7. Q2(b). Prove that (2n + 1)xP_n(x) = (n + 1)P_(n+1)(x) + nP_(n-1)(x) [3 marks]
  8. Q2(c). Find the indicia roots of the Bessel's differential equation [3 marks]