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Mathematics - Differential Equations

Practise 8 IAT (IISER) previous year questions on Differential Equations, compiled from papers spanning 2017 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 IAT (IISER) tests.

Differential Equations has been asked in 7 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 8 questions in all. 0% of them were easy, 100% moderate and 0% tough. Most of its questions came from 2024, with 1 question that year. In the last three years (2023–2026) it had 2 questions across 3 papers, about 0.7 per paper.

The chapter's 5 topics are not weighted equally: Formation of Differential Equation (3 questions, 38%), Applications of DE (2 questions, 25%), and Order and Degree (1 question, 13%) have been asked the most. Formation of Differential Equation has also led over the last five years, with 1 question.

  1. 1Which one of the following is the solution of the differential equation given that when ?2025Linear Differential Equation
  2. 2Consider the differential equation given that at . Which one of the following is the value of at ?2024Variable Separable Form
  3. 3Which of the following differential equations has as one of its particular solutions?2023Order and Degree
  4. 4For arbitrary constants , the differential equation representing the family of curves is2022Formation of Differential Equation
  5. 5Let be a continuous function satisfying Then which of the following is correct?2021Formation of Differential Equation
  6. 6Consider the differential equation where and are constants, , and . If is a nonzero solution of the equation, then which of the following st2020Formation of Differential Equation
  7. 7Let \(y=f(x)\) be the equation of the curve passing through the point \((1,1)\) having slope \( _e x\) for positive values of \(x\). Then th2018Applications of DE
  8. 8Consider the functions and satisfying The set lies on a2017Applications of DE

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 8 questions compiled from IAT (IISER) papers spanning 2017 to 2025.

2.Are these questions only from IAT (IISER), or from other exams too?

These are IAT (IISER) 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 IAT (IISER) Mathematics?

Differential Equations has appeared in 8 of the 10 years of IAT (IISER) papers covered here, with 8 questions across 8 papers - about one per paper it appears in.

4.What is the difficulty level of Differential Equations questions in IAT (IISER)?

Of the 8 questions analysed for this chapter, 0% are easy, 100% moderate and 0% tough. 2024 had the most, with 1 question.

5.Which topics in Differential Equations should I focus on?

These topics have carried the most weightage in Differential Equations:

  • Formation of Differential Equation - 3 questions (38%)
  • Applications of DE - 2 questions (25%)
  • Order and Degree - 1 question (13%)
6.Is Differential Equations's weightage in IAT (IISER) going up or down?

Across all 8 papers analysed, Differential Equations has averaged about 1.0 questions per paper. In the last three years (2023–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.