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Mathematics - Differential Equations

Practise 237 AP EAMCET previous year questions on Differential Equations, compiled from papers spanning 2001 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 AP EAMCET tests.

Differential Equations has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 237 questions in all. 43% of them were easy, 47% moderate and 10% tough. Most of its questions came from 2023, with 29 questions that year. In the last three years (2022–2024) it had 85 questions across 28 papers, about 3 per paper.

The chapter's 9 topics are not weighted equally: Linear Differential Equation (66 questions, 28%), Variable Separable Form (46 questions, 19%), and Formation of Differential Equation (45 questions, 19%) have been asked the most. Linear Differential Equation has also led over the last five years, with 30 questions. Variable Separable Form has produced the most tough questions (9).

  1. 1The general solution of the differential equation is27 May, 2025 (M)Homogeneous DE
  2. 2The general solution of the differential equation is27 May, 2025 (M)Variable Separable Form
  3. 3If (A and B are arbitrary constants) is the general solution of the differential equation , then27 May, 2025 (M)Formation of Differential Equation
  4. 4If (A,B are parameters) is general solution of the differential equation then26 May, 2025 (M)Formation of Differential Equation
  5. 5The general solution of the differential equation is26 May, 2025 (M)Homogeneous DE
  6. 6The general solution of the differential equation is26 May, 2025 (M)Linear Differential Equation
  7. 7If a and b are arbitrary constants, then the differential equation corresponding to the family of curves is26 May, 2025 (E)Formation of Differential Equation
  8. 8The general solution of the differential equation is26 May, 2025 (E)Variable Separable Form
  9. 9The general solution of the differential equation is26 May, 2025 (E)Linear Differential Equation
  10. 10If the slope of the tangent drawn at any point on a curve is , then the equation of that curve is24 May, 2025 (M)Differential Equations
  11. 11The solution of the differential equation , when , is24 May, 2025 (M)Variable Separable Form
  12. 12The general solution of the differential equation is24 May, 2025 (M)Homogeneous DE
  13. 13If and , then24 May, 2025 (M)Linear Differential Equation
  14. 14The general solution of the differential equation is23 May, 2025 (M)Variable Separable Form
  15. 15The differential equation for which (a is the parameter) is the general solution is23 May, 2025 (M)Formation of Differential Equation
  16. 16The general solution of the differential equation is23 May, 2025 (M)Differential Equations
  17. 17If the order and degree of the differential equation are k and respectively, then are the roots of23 May, 2025 (E)Order and Degree
  18. 18The equation of the curve passing through the point and satisfying the differential equation is23 May, 2025 (E)Variable Separable Form
  19. 19The general solution of the differential equation is23 May, 2025 (E)Homogeneous DE
  20. 20The general solution of the differential equation is22 May, 2025 (M)questions on direct homoegeneous form
  21. 21If the degree of the differential equation corresponding to the family of curves (where is an arbitary constant) is r and it's order is m, t22 May, 2025 (M)Order and Degree
  22. 22The general solution of the differential equation is22 May, 2025 (M)Linear Differential Equation
  23. 23The differential equation of the family of circles passing through the origin and having centre on X -axis is22 May, 2025 (E)Formation of Differential Equation
  24. 24The general solution of the differential equation is22 May, 2025 (E)Homogeneous DE
  25. 25The general solution of the differential equation is22 May, 2025 (E)Linear Differential Equation
  26. 26The differential equation corresponding to the family of parabolas whose axis is along is21 May, 2025 (M)Formation of Differential Equation
  27. 27The general solution of the equation is21 May, 2025 (M)Linear Differential Equation
  28. 28The general solution of the differential equation is21 May, 2025 (M)Homogeneous DE
  29. 29The general solution of the differential equation is21 May, 2025 (E)Linear Differential Equation
  30. 30The general solution of the differential equation is21 May, 2025 (E)Homogeneous DE
  31. 31The general solution of the differential equation is21 May, 2025 (E)Homogeneous DE
  32. 32If , then23 May, 2024 (M)Formation of Differential Equation
  33. 33Among the options given below, from which option a differential equation of order two can be formed?23 May, 2024 (M)Order and Degree
  34. 34The differential equation for which is general solution is23 May, 2024 (M)Formation of Differential Equation
  35. 35The solution of the differential equation is23 May, 2024 (M)Exact Forms
  36. 36The general solution of the differential equation is22 May, 2024 (M)Linear Differential Equation
  37. 37The general solution of the differential equation is22 May, 2024 (M)Variable Separable Form
  38. 38The sum of the order and degree of the differential equation is22 May, 2024 (M)Order and Degree
  39. 39The differential equation of the family of hyperbola having their centres at origin and their axes along the coordinates axes is22 May, 2024 (E)Formation of Differential Equation
  40. 40The general solution of the differential equation is22 May, 2024 (E)Variable Separable Form
  41. 41The differential equation formed by eliminating and from the equation is21 May, 2024 (M)Formation of Differential Equation
  42. 42If is the general solution of a differential equation, where and are arbitrary constants and is a fixed constant, then the order of differen21 May, 2024 (M)Order and Degree
  43. 43The solution of differential equation is21 May, 2024 (M)Linear Differential Equation
  44. 44The differential equation formed by eliminating arbitrary constants from the equation is21 May, 2024 (E)Formation of Differential Equation
  45. 45If and then21 May, 2024 (E)Exact Forms
  46. 46Preview not available - open to view this question.21 May, 2024 (E)Variable Separable Form
  47. 47The sum of the order and degree of the differential equation is20 May, 2024 (M)Order and Degree
  48. 48The general solution of the differential equation is20 May, 2024 (M)Variable Separable Form
  49. 49The general solution of the differential equation is20 May, 2024 (M)Linear Differential Equation
  50. 50Order and degree of the differential equation respectively are20 May, 2024 (E)Order and Degree

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 237 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Differential Equations has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 237 questions across 93 papers - about 3 per paper it appears in.

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

Of the 237 questions analysed for this chapter, 43% are easy, 47% moderate and 10% tough. 2023 had the most, with 29 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Linear Differential Equation - 66 questions (28%)
  • Variable Separable Form - 46 questions (19%)
  • Formation of Differential Equation - 45 questions (19%)
  • Variable Separable Form has produced the most tough questions (9).
6.Is Differential Equations's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Differential Equations has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has risen, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.