The GATE Grind

GATE Mathematical Physics: linear differential equations: simple applications of first and second order linear differential equations and solutions – Previous Year Questions

4 GATE previous year questions on linear differential equations: simple applications of first and second order linear differential equations and solutions (Mathematical Physics, Physics) with answers and explanations, from every paper.

  1. GATE 2022 PH Q19 (1 mark, Multiple choice) – y-2xy+4y=0 has solution y=a+bx+cx2. Which relation holds?
  2. GATE 2022 PH Q27 (1 mark, Multiple select) – The equation (1-x2)y-xy+9y=0 has a regular singularity at
  3. GATE 2023 PH Q57 (2 marks, Multiple select) – A horizontal disc of radius 2 m rotates anticlockwise at 2 rad/s. Let V be its velocity field and V= V . Which are correct? Cylindrical gradient,…
  4. GATE 2026 PH Q50 (2 marks, Multiple select) – Which of the following operators is/are self-adjoint?