GATE Engineering Mathematics: Differential Equations: First order linear ODEs and higher order linear ODEs with constant coefficients – Previous Year Questions
9 GATE previous year questions on Differential Equations: First order linear ODEs and higher order linear ODEs with constant coefficients (Engineering Mathematics, Aerospace Engineering) with answers and explanations, from every paper.
- GATE 2021 AE Q11 – The solution of y+8y+16y=0, with y(0)=1, y(0)=0, is
- GATE 2022 AE Q37 – For y-2y+y=0, y(0)=0 and y′(0)=1, the value y(1/2) is
- GATE 2023 AE Q42 – For dy/dx+ay= x, with constants a,ω and y(0)=1, select true statements as x.
- GATE 2023 AE Q54 – For x2y+4xy+2y=0, x≥1, y(1)=0 and y′(1)=1, the value y(2) (two decimal places) is .
- GATE 2026 AE Q49 – Consider the differential equation with the initial conditions given below. If y(x) is the solution of the equation, the value of the slope, dydx, at…
- GATE 2026 AE Q50 – An object of mass 1 kg is launched with an initial speed of v o into a large tank filled with a viscous liquid. The liquid exerts a resistive force…
- GATE 2025 AE Q43 – Consider the ordinary differential equation: 12dydx + yx = 1. If y = 2/3 at x = 1, then the value of y at x = 3 is (rounded off to the nearest…
- GATE 2024 AE Q12 – The acceleration of a body travelling in a straight line is given by a = -C 1 - C 2v2 where v is the velocity, and C 1, C 2 are positive constants.…
- GATE 2024 AE Q36 – Given y = epx qx, where p and q are non-zero real numbers, the value of the differential expression d2ydx2 - 2pdydx + (p2 + q2)y is