GATE Engineering Mathematics: Differential Equations: First order ODEs, higher order ODEs with constant coefficients, Cauchy and Euler equations, Laplace transforms – Previous Year Questions
8 GATE previous year questions on Differential Equations: First order ODEs, higher order ODEs with constant coefficients, Cauchy and Euler equations, Laplace transforms (Engineering Mathematics, Biotechnology) with answers and explanations, from every paper.
- GATE 2022 BT Q11 – What is the order of the differential equation d2y/dx2-6x=3x4-2x3+2?
- GATE 2026 BT Q27 – The equation d2ydx2 - y = 0 has a solution of the form y = eAx. The value(s) of A satisfying this is/are:
- GATE 2026 BT Q54 – A heat exchanger during operation in a bioprocess has a steady temperature of 90 oC. After completion of its operation, it was shut down and it was…
- GATE 2026 BT Q58 – From the following plot of dydx versus x and if y(2) = 5, the value of y(3) is . (rounded off to one decimal place)
- GATE 2025 BT Q13 – Let y(t) be a bacterial population whose growth is given by dydt = (y + 2) where is the growth rate constant. If y(0) = 1 and y(1) = 4, then the value…
- GATE 2025 BT Q45 – Let m and n be fixed real numbers. If the function y(t) = C 1et + C 2e-t is a solution of d2ydt2 + mdydt + ny = 0 for any constants C 1 and C 2, then…
- GATE 2024 BT Q30 – The solution of the differential equation dydx = y + e-x that satisfies y(0) = -12 is .
- GATE 2024 BT Q64 – Let y(x) = x2 x for x > 0, be a solution of x2d2ydx2 + 4y = xdydx. Then the value of is .