N Nexsus

Linear Algebra and Differential Equations — Minor 2 2023 question paper

MMMUT Information Technology previous year question paper for Linear Algebra and Differential Equations (BSM 104), semester 1, Minor 2 2023. All 10 questions are listed below, each with a written answer on Nexsus.

Paper details

  • Subject: Linear Algebra and Differential Equations (BSM 104)
  • Branch: Information Technology
  • Semester: 1
  • Exam: Minor 2 2023
  • Questions: 10

Questions asked in Linear Algebra and Differential Equations Minor 2 2023

  1. Q1(a). If u = log(x^2 + y^2 + z^2 - 3xyz), show that (d/dx +d/dy +d/dz)^2 u=-9/(x+y+z)^2 [5 marks]
  2. Q1(a)(ii). show that the rectangular solid of maximum volume that can be inscribed in a sphere is a cube.
  3. Q1(b). Change the order of integration in ∫∫f(x, y)dydx [3 marks]
  4. Q1(c). Expand e^x*cosy near the point (1, π/4) by Taylor's theorem. [3 marks]
  5. Q2(a)(i). Solve (D^2 - 2D + 1)y = xe^x*cosx. [4 marks]
  6. Q2(a)(ii). Solve (D - D') - 6D)y = x^2+1
  7. Q2(b). Solve by the method of variation of parameter the equation d2/dx2 x + a2y = sec ax [3 marks]
  8. Q2(c). Solve the equation (1+x2)2dx2d2y+2x(1+x2)dxdy ​+4y=0 [3 marks]
  9. QQ1. Attempt any two parts of the following. Q1 (a) is compulsory.
  10. QQ2. Attempt any two parts of the following. Q2(a) is compulsory.