Mathematics-II question paper (MS 103) from BUTEX affiliated colleges' 2024 Level-1 Term-II finals. Problems cover differential equations, vector calculus identities, Green's theorem, analytic and harmonic functions, De Moivre's theorem, and Laplace transforms.
Level-1 Term-II, Final Exám-2024
Subject: Mathematics-II (Code: MS 103)
Time: 3.0 Hrs. Full Marks: 72
(Use separate answer script for Part: A and Part: B)
(All parts of a question must be answered consecutively)
Part: A
(Answer any three questions)
1. (a) Solve:
(b) Solve:
(c) Solve:
(d) Solve:
[3+3+3+3=12]
2. (a) Solve the following differential equation by the method of variations of parameter:
(b) Solve the following equation by the method of undetermined coefficient:
(c) Solve the equation
[4+4+4=12]
3. (a) Prove that
(b) Prove that
(c) Determine a unit vector perpendicular to the plane of and
[4+4+4=12]