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Mathematics - Differential Equations

Practise 65 COMEDK previous year questions on Differential Equations, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Differential Equations has been asked in 13 of the 15 years of COMEDK papers analysed (2012–2026), with 65 questions in all. 35% of them were easy, 55% moderate and 9% tough. Most of its questions came from 2025, with 14 questions that year. In the last three years (2024–2026) it had 36 questions across 10 papers, about 3.6 per paper.

The chapter's 6 topics are not weighted equally: Variable Separable Form (28 questions, 43%), Linear Differential Equation (12 questions, 18%), and Order and Degree (11 questions, 17%) have been asked the most. Variable Separable Form has also led over the last five years, with 24 questions. Variable Separable Form has produced the most tough questions (3).

  1. 1The order and degree of the differential equation is:09 May, 2026 (S1)Order and Degree
  2. 2The particular solution of the equation , where and when is09 May, 2026 (S1)Variable Separable Form
  3. 3In a bank the principal increases continuously at the rate of 4% per annum. In how many years will ₹1000 triple itself?09 May, 2026 (S1)Variable Separable Form
  4. 4The solution of where when is09 May, 2026 (S1)Linear Differential Equation
  5. 5The function is the solution of which of the following differential equations?09 May, 2026 (S2)Formation of Differential Equation
  6. 6Let the population of a species of birds surviving at a time ' ' be governed by the differential equation . If , then is equal to09 May, 2026 (S2)Linear Differential Equation
  7. 7The degree of the differential equation is:09 May, 2026 (S2)Order and Degree
  8. 8The particular solution of the differential equation when and is09 May, 2026 (S2)Variable Separable Form
  9. 9The solution of the differential equation is25 May, 2025 (Shift)Variable Separable Form
  10. 10Find the particular solution of the differential equation given that when25 May, 2025 (Shift)Homogeneous DE
  11. 11The solution of when is10 May, 2025 (S1)Exact Forms
  12. 12The order of the differential equation is10 May, 2025 (S1)Order and Degree
  13. 13The general solution of the differential equation is10 May, 2025 (S1)Homogeneous DE
  14. 14The solution of the differential equation is10 May, 2025 (S1)Variable Separable Form
  15. 15Which of the following transformations reduce the differential equation into the form10 May, 2025 (S2)Linear Differential Equation
  16. 16Integrating factor of the differential equation is10 May, 2025 (S2)Linear Differential Equation
  17. 17Solution of the differential equation represents a family of10 May, 2025 (S2)Variable Separable Form
  18. 18The degree of the differential equation10 May, 2025 (S2)Order and Degree
  19. 19The number of solutions of , when is10 May, 2025 (S3)Variable Separable Form
  20. 20Find the function ' ' which satisfies the equation , given that10 May, 2025 (S3)Variable Separable Form
  21. 21Solve the following differential equation , given that . Hence find10 May, 2025 (S3)Linear Differential Equation
  22. 22The solution of the differential equation: is10 May, 2025 (S3)Variable Separable Form
  23. 23Preview not available - open to view this question.2024 (Afternoon Shift)Linear Differential Equation
  24. 24Preview not available - open to view this question.2024 (Afternoon Shift)Homogeneous DE
  25. 25Degree of the differential equation is2024 (Afternoon Shift)Order and Degree
  26. 26Preview not available - open to view this question.2024 (Afternoon Shift)Variable Separable Form
  27. 27The sum of the order and degree of the differential equation is2024 (Evening Shift)Order and Degree
  28. 28Preview not available - open to view this question.2024 (Evening Shift)Variable Separable Form
  29. 29The general solution of the differential equation is2024 (Evening Shift)Homogeneous DE
  30. 30Preview not available - open to view this question.2024 (Evening Shift)Variable Separable Form
  31. 31The solution of differential equation2024 (Memory Based)Variable Separable Form
  32. 32The general solution of ,2024 (Memory Based)Variable Separable Form
  33. 33The differential equation of all the lines are2024 (Memory Based)Formation of Differential Equation
  34. 34If and , then is2024 (Morning Shift)Variable Separable Form
  35. 35The particular solution of , when is2024 (Morning Shift)Variable Separable Form
  36. 36The particular solution of the differential equation at2024 (Morning Shift)Linear Differential Equation
  37. 37The particular solution of given that when is2023 (Evening Shift)Variable Separable Form
  38. 38The solution of the differential equation2023 (Evening Shift)Linear Differential Equation
  39. 39The general solution of the differential equation2023 (Evening Shift)Linear Differential Equation
  40. 40The sum of the degree and order of the following differential equation2023 (Evening Shift)Order and Degree
  41. 41The differential equation of all non-vertical lines in a plane is2023 (Memory Based)Formation of Differential Equation
  42. 42The general solution of is2023 (Memory Based)Variable Separable Form
  43. 43The solution of the differential equation is2023 (Memory Based)Variable Separable Form
  44. 44The general solution of is2023 (Morning Shift)Variable Separable Form
  45. 45The differential equation of all non-vertical lines in a plane is2023 (Morning Shift)Formation of Differential Equation
  46. 46The solution of the differential equation is2023 (Morning Shift)Variable Separable Form
  47. 47The solution of the differential equation represents2022Variable Separable Form
  48. 48The solution of the differential equation is2022Variable Separable Form
  49. 49The solution of the differential equation is2022Variable Separable Form
  50. 50164 . The solution of the differential equation is2021Variable Separable Form

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 65 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK 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 COMEDK Mathematics?

Differential Equations has appeared in 13 of the 15 years of COMEDK papers covered here, with 65 questions across 22 papers - about 3 per paper it appears in.

4.What is the difficulty level of Differential Equations questions in COMEDK?

Of the 65 questions analysed for this chapter, 35% are easy, 55% moderate and 9% tough. 2025 had the most, with 14 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Variable Separable Form - 28 questions (43%)
  • Linear Differential Equation - 12 questions (18%)
  • Order and Degree - 11 questions (17%)
  • Variable Separable Form has produced the most tough questions (3).
6.Is Differential Equations's weightage in COMEDK going up or down?

Across all 22 papers analysed, Differential Equations has averaged about 3.0 questions per paper. In the last three years (2024–2026), that average has risen, at about 3.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.