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CSIR NET Maths previous year question papers

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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 2024 · Part B (3 Marks)ODE, PDE & Applied Mathematics#complex-indices-make-it-oscillate-in-log-u

For any non-zero solution y = y(x) of the differential equation (2x+3)2(d2y/(2x + 3)^{2}(d^{2}y/dx2)+6(2x+3)(^{2}) + 6(2x + 3)(dy/dx) + 8y = 0, x > 0, denote S := {x∈(0,∞):y(x)=0x \in (0, \infty) : y(x) = 0}. Then

Single choice · Ordinary Differential Equations

CSIR NET December 2024 · Part C (4.75 Marks)ODE, PDE & Applied Mathematics#an-antisymmetric-kernel-has-no-real-eigenvalue

The integral equation u(x)=f(x)+(2/π)∫0πsin⁡(x−t)u(t)u(x) = f(x) + (2/\pi)\int_{0}^\pi \sin(x - t)u(t)dt has a unique solution if

Multi-select · full marks only for the exact set · Linear Integral 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