GATE Engineering Mathematics: Differential Equations: Initial and boundary value problems – Previous Year Questions

3 GATE previous year questions on Differential Equations: Initial and boundary value problems (Engineering Mathematics, Electrical Engineering) with answers and explanations, from every paper.

1. GATE 2015 EE Q37 (2 marks, Numerical answer) – A solution of the ordinary differential equation d2ydt2 + 5dydt + 6y = 0 is such that y(0) = 2 and y(1) = -1 - 3ee3. The value of dydt(0) is .
2. GATE 2016 EE Q14 (1 mark, Multiple choice) – A function y(t), such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation d2 ydt2 + 2dydt + y = 0. Then y(2) is
3. GATE 2026 EE Q50 (2 marks, Multiple choice) – Consider the second-order differential equation d2ydx2+dydx+y=0 with initial conditions y(0)=1,\ dydx x=0=1. The solution is given by