GATE Engineering Mathematics: PDE: Fourier series, separation of variables, diffusion, wave and Laplace equations – Previous Year Questions
8 GATE previous year questions on PDE: Fourier series, separation of variables, diffusion, wave and Laplace equations (Engineering Mathematics, Civil Engineering) with answers and explanations, from every paper.
- GATE 2023 CE (CE1) Q25 – The following function is defined over the interval [-L, L]: f(x) = px4 + qx5. If it is expressed as a Fourier series, f(x) = a 0 + n=1\a n(n xL) + b…
- GATE 2024 CE (CE2) Q11 – A partial differential equation 2T x2 + 2T y2 = 0 is defined for the two-dimensional field T: T(x, y), inside a planar square domain of size 2 m × 2…
- GATE 2024 CE (CE1) Q12 – The second-order differential equation in an unknown function u: u(x, y) is defined as 2u x2 = 2. Assuming g: g(x), f: f(y), and h: h(y), the general…
- GATE 2024 CE (CE1) Q28 – For the following partial differential equation, x2f x2 + y2f y2 = x2 + y22, which of the following option(s) is/are CORRECT?
- GATE 2025 CE (CE1) Q13 – Which one of the following options is the correct Fourier series of the periodic function f(x) described below: f(x) = cases 0, & -2 < x < -1 \\ 2k, &…
- GATE 2025 CE (CE1) Q28 – Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
- GATE 2026 CE (CE2) Q13 – Periodic function f(x) is given below. f(x) = cases -1, & - < x < 0 \\ 1, & 0 < x < cases; f(x + 2) = f(x) The CORRECT option representing the Fourier…
- GATE 2026 CE (CE2) Q30 – A partial differential equation is given below. 2 u x2 - 2 u y2 = 0 Possible solution(s) is/are: