Mathematics - Differential Equations
Practise 5 NEST (NISER) previous year questions on Differential Equations, compiled from papers spanning 2021 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NEST (NISER) tests.
Differential Equations has been asked in 4 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 5 questions in all. 20% of them were easy, 60% moderate and 20% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2024–2026) it had 3 questions across 4 papers, about 0.8 per paper.
The chapter's 3 topics are not weighted equally: Variable Separable Form (2 questions, 40%), Order and Degree (2 questions, 40%), and Differential Equations (1 question, 20%) have been asked the most. Over the last five years the most frequent topics have been Order and Degree (2), Variable Separable Form (1), and Differential Equations (1). Variable Separable Form has produced the most tough questions (1).
- 1Let be a continuous function such that Then the value of is2025Differential Equations
- 2The ordinary differential equation has2024 (Session 1)Order and Degree
- 3Let and be two distinct solutions of the ordinary differential equation such that the function defined by the determinant is not identically2024 (Session 2)Order and Degree
- 4Let be a differentiable function on satisfying the conditions (i) for all , and (ii) for all . Then the value of is2023 (Session 2)Variable Separable Form
- 5Consider the differential equation . Then the correct statement/ statements is/are2021 (Session 1)Variable Separable Form
Frequently Asked Questions
1.How many questions are available for Differential Equations?
This chapter includes 5 questions compiled from NEST (NISER) papers spanning 2021 to 2025.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) questions specifically for the Differential Equations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Differential Equations an important chapter for NEST (NISER) Mathematics?
Differential Equations has appeared in 4 of the 16 years of NEST (NISER) papers covered here, with 5 questions across 5 papers - about one per paper it appears in.
4.What is the difficulty level of Differential Equations questions in NEST (NISER)?
Of the 5 questions analysed for this chapter, 20% are easy, 60% moderate and 20% tough. 2024 had the most, with 2 questions.
5.Which topics in Differential Equations should I focus on?
These topics have carried the most weightage in Differential Equations:
- Variable Separable Form - 2 questions (40%)
- Order and Degree - 2 questions (40%)
- Differential Equations - 1 question (20%)
- Variable Separable Form has produced the most tough questions (1).
6.Is Differential Equations's weightage in NEST (NISER) going up or down?
Across all 5 papers analysed, Differential Equations has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.