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MATHEMATICS — Minor 1 2026 question paper

MMMUT Electronics and Communication Engineering previous year question paper for MATHEMATICS (BHM 152), semester 2, Minor 1 2026. All 10 questions are listed below, each with a written answer on Nexsus.

Paper details

  • Subject: MATHEMATICS (BHM 152)
  • Branch: Electronics and Communication Engineering
  • Semester: 2
  • Exam: Minor 1 2026
  • Questions: 10

Questions asked in MATHEMATICS Minor 1 2026

  1. Q1(a). Solve (D^2 + SD + 6)y = e^(-2x) sec^2(x)(1 + 2tan(x)) [5 marks]
  2. Q1(b). Solve (1 + x)^2 * d^2(y)/dx^2 + (1 + x) * dy/dx + y = 4 * cos(log(1 + x)) [3 marks]
  3. Q1(c). Solve dx/dt = 3x + 8y and dy/dt = -x - 3y with x(0) = 3, y(0) = -2
  4. Q1(c)(ii). Solve (D^2 + 2D + 2)y = e^(-x) * tan(x)
  5. Q2(a). Solve in series the differential equation xy'' + 2y' + xy = 0 [4 marks]
  6. Q2(b). Find the series solution of Bessel's differential equation of p order and hence Evaluate the value of J1 and J2 [3 marks]
  7. Q2(c)(i). Show that nPn = xPn' - Pn-1' [3 marks]
  8. Q2(c)(ii). Show that ∫_(-1)^1 (x^2 - 1)Pn+1 * Pn' dx = 2n(n+1)/(2n+1)(2n+3)
  9. QQ.1. Attempt any Two parts of the following. Q 1(a) is compulsory.
  10. QQ.2. Attempt any Two parts of the following. Q 2(a) is compulsory.