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UnitAll (738)Analysis & Linear AlgebraComplex Analysis, Algebra & TopologyODE, PDE & Applied MathematicsProbability, Statistics & Linear Programming
PartPart B (Single Choice: +3 / −0.75)Part C (Multi-Select: +4.75 / 0)Part A (Aptitude: +2 / −0.5)Year
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CSIR NET December 2023 · Part B (3 Marks)ODE, PDE & Applied Mathematics#dalembert-limit

Consider the Cauchy problem for the wave equation utt−4uxx=0u_tt - 4u_{xx} = 0 on R×(0,∞)\mathbb{R} \times (0, \infty), with u(x, 0) = e−1/x2e^{-1/x^{2}} for x ≠ 0 (and 0 at x = 0), and u_t(x, 0) = x e−x2e^{-x^{2}}. Which one of the following is true?

Single choice · Partial Differential Equations

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Topic-wise weightage →counted from these papers, with each paper's coverage shownWhat changed between two papers →by share of each paper, not raw countsWhat each paper cut off at →official CSIR figures, category-wise, with the sourcePart A general aptitude →30 of the 200 marks, and no mathematics