The GATE Grind

GATE Engineering Mathematics: Differential Equations – Previous Year Questions

3 GATE previous year questions on Differential Equations (Engineering Mathematics, Mining Engineering) with answers and explanations, from every paper.

  1. GATE 2021 MN Q52 (2 marks, Numerical answer) – The hypothetical daily-infection quantity c follows 100\,dc/dt-7c=0, with t in days. Find its doubling time in days, to the nearest integer.
  2. GATE 2022 MN Q43 (2 marks, Numerical answer) – A thermometer initially reads 2°C and is moved into a room at 40°C. Its heating rate is proportional to the room–thermometer temperature difference.…
  3. GATE 2026 MN Q13 (1 mark, Multiple choice) – Which differential equation is nonlinear, second order and first degree?