The GATE Grind

GATE Engineering Mathematics: Differential equations – Previous Year Questions

5 GATE previous year questions on Differential equations (Engineering Mathematics, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2022 IN Q45 (2 marks, Multiple choice) – For dy/dx+y y=0 with y(0)=e, the value of y(1) is .
  2. GATE 2023 IN Q20 (1 mark, Multiple choice) – The solution of x=-k x, k>0, with x(0)=1, x(0)=0, for t0, is
  3. GATE 2024 IN Q64 (2 marks, Numerical answer) – The differential equation y+3y+3y+y=30e-t has solution y(t)=(c 0+c 1t-c 2t2+c 3t3)e-t. Given y(0)=3, y(0)=-3, y(0)=-47, the value of c 0+c 1+c 2+c 3…
  4. GATE 2025 IN Q12 (1 mark, Multiple choice) – The solution of the differential equation dy/dx=9x/y represents
  5. GATE 2026 IN Q54 (2 marks, Multiple select) – Given the differential equation d2x/dt2+x=0 with x(0)0, which of the following statements is/are true?