GATE Engineering Mathematics: ODE: First order and higher order linear equations, Euler-Cauchy equations, initial and boundary value problems – Previous Year Questions
8 GATE previous year questions on ODE: First order and higher order linear equations, Euler-Cauchy equations, initial and boundary value problems (Engineering Mathematics, Civil Engineering) with answers and explanations, from every paper.
- GATE 2023 CE (CE1) Q30 – In the differential equation dydx + xy = 0, is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of is (rounded off to…
- GATE 2024 CE (CE2) Q15 – Consider two Ordinary Differential Equations (ODEs): P: dydx = x4 + 3x2y2 + 2y4x3y Q: dydx = -y2x2 Which one of the following options is CORRECT?
- GATE 2024 CE (CE1) Q48 – A 2 m × 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At t = 0, an inflow…
- GATE 2025 CE (CE2) Q29 – The "order" of the following ordinary differential equation is . d3ydx3 + (d2ydx2)6 + (dydx)4 + y = 0
- GATE 2025 CE (CE2) Q36 – Pick the CORRECT solution for the following differential equation dydx = ex-y
- GATE 2025 CE (CE1) Q47 – Let y be the solution of the initial value problem y'' + 0.8y' + 0.16y = 0, where y(0) = 3 and y'(0) = 4.5. Then, y(1) is equal to (*rounded off to 1…
- GATE 2026 CE (CE2) Q46 – Consider differential equation dydx + xy = x with the condition as y = 0 at x = 0. The value of y at x = 1.0 is (*rounded off to two decimal places*).
- GATE 2026 CE (CE1) Q37 – An ordinary differential equation is given below. x2d2ydx2 = 6y Considering a and b as arbitrary constants, the general solution of the equation is