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Engineering Mathematics — Major (End Semester) 2026 question paper

MMMUT Electronics and Communication Engineering previous year question paper for Engineering Mathematics (BSM 152), semester 2, Major (End Semester) 2026. All 14 questions are listed below, each with a written answer on Nexsus.

Paper details

  • Subject: Engineering Mathematics (BSM 152)
  • Branch: Electronics and Communication Engineering
  • Semester: 2
  • Exam: Major (End Semester) 2026
  • Questions: 14

Questions asked in Engineering Mathematics Major (End Semester) 2026

  1. Q1(a). Solve the following simultaneous differential equations: dx/dt - y = e^t, dy/dt + x = sin(t), given x(0) = 0 = y(0). [2 marks]
  2. Q1(b). Solve the following P.D.E. by the method of separation of variable: 2u_x + 3u_y + 5u = 0 with u(0,y) = 2e^(-y). [2 marks]
  3. Q1(c). Solve: d^2y/dx^2 - 2x*dy/dx + (x^2 + 2)y = e^(3/2*(x^2 + 2x)). [2 marks]
  4. Q1(d). State and prove Rodriguez's formula. [2 marks]
  5. Q1(e). Find the complete and singular integrals of z = px + qy + pq. [2 marks]
  6. Q1(f). Evaluate the value of f_(1/2) and f_(1/2). [2 marks]
  7. Q1(g). Solve: r + s - 2t = (y - 1)e^x. [2 marks]
  8. Q2(a). Solve: d^2y/dx^2 + 3*dy/dx + 2y = e^x + sin(x + 3). [5 marks]
  9. Q2(b). Solve: y'' - 2y' + 2y = e^x * tan(x) by variation of parameter. [5 marks]
  10. Q2(c). Solve: x^2*d^2y/dx^2 + 4x*dy/dx + 2y = 1/x + log(x) * sin(log(x)). [5 marks]
  11. Q3(a). Prove that (i) ∫_(−1)^(1) (x^2 - 1)P_(n+1)P_n' dx = 2n(n+1)/((2n+1)(2n+3)) (ii) ∫J_3(x)dx = -J_2 - 2/x * J_1. [5 marks]
  12. QQ.1. Attempt any five parts of the following.
  13. QQ.2. Attempt any two parts of the following.
  14. QQ.3. Attempt any two parts of the following.