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CSIR NET Maths previous year question papers

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UnitAll (738)Analysis & Linear Algebra Complex Analysis, Algebra & Topology ODE, PDE & Applied Mathematics Probability, Statistics & Linear Programming

PartPart B (Single Choice: +3 / −0.75)Part C (Multi-Select: +4.75 / 0)Part A (Aptitude: +2 / −0.5)YearFree only

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3 questions match · page 1 of 1

CSIR NET December 2024 · Part B (3 Marks)ODE, PDE & Applied Mathematics#the-lipschitz-condition-is-in-y-not-x

The initial value problem dy/dx $= \surd$ |x − 1| sin y, y(0) = 1 has

Single choice · Ordinary Differential Equations

CSIR NET December 2024 · Part B (3 Marks)ODE, PDE & Applied Mathematics#a-total-derivative-term-cannot-affect-the-extremal

If $\varphi \in C^{4}[0, 1]$ is the extremal of the variational problem minimize $J[y] = \int_{0}^{1}($ yy $' + (y'')^{2})$ dx, subject to y(0) = 0, y′(0) = 1, y(1) = 2, y′(1) = 4, then $\varphi(1/2)$ is equal to

Single choice · Calculus of Variations

CSIR NET June 2023 · Part B (3 Marks)ODE, PDE & Applied Mathematics#null-lagrangian-term

Consider the variational problem $(P): J(y) = \int_{0}^{1} [(y')^{2} - y$ |y|·y′ + xy] dx, y(0) = 0, y(1) = 0. Which of the following statements is correct?

Single choice · Calculus of Variations

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