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Mathematics - Differential Equations

Practise 171 TS 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 TS EAMCET tests.

Differential Equations has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 171 questions in all. 37% of them were easy, 51% moderate and 12% tough. Most of its questions came from 2020, with 26 questions that year. In the last three years (2022–2024) it had 44 questions across 17 papers, about 2.6 per paper.

The chapter's 9 topics are not weighted equally: Linear Differential Equation (52 questions, 30%), Formation of Differential Equation (34 questions, 20%), and Variable Separable Form (29 questions, 17%) have been asked the most. Linear Differential Equation has also led over the last five years, with 19 questions. Linear Differential Equation has produced the most tough questions (8).

  1. 1If is the solution of the differential equation when , then04 May, 2025 (M)Linear Differential Equation
  2. 2The differential equation corresponding to the family of ellipses \( {x^2}{a^2}+ {y^2}{4}=1\), where ' \(a\) ' is an arbitrary constant is04 May, 2025 (M)Differential Equations
  3. 3The differential equation of the family of all circles of radius ' ' is04 May, 2025 (E)Formation of Differential Equation
  4. 4If the general solution of is , then04 May, 2025 (E)Linear Differential Equation
  5. 5The differential equation of a family of hyperbolas whose axes are parallel to coordinate axes, centres lie on the line and eccentricity is 03 May, 2025 (M)Differential Equations
  6. 6The general solution of the differential equation is03 May, 2025 (M)Homogeneous DE
  7. 7The general solution of the differential equation is03 May, 2025 (E)Linear Differential Equation
  8. 8If the differential equation having as its general solution is03 May, 2025 (E)Formation of Differential Equation
  9. 9If is the differential equation corresponding to the curve and then02 May, 2025 (M)Linear Differential Equation
  10. 10The general solution of the differential equation is02 May, 2025 (M)Linear Differential Equation
  11. 11The substitution required to reduce the differential equation to a differential equation which can be solved by variables separable method i02 May, 2025 (E)Homogeneous DE
  12. 12The equation which represents the system of parabolas whose axis is parallel to -axis satisfies the differential equation02 May, 2025 (E)Differential Equations
  13. 13If the equation of the curve which passes through the point satisfies the differential equation . then the equation of that curve is11 May, 2024 (M)Orthogonal Trajectory
  14. 14The general solution of the differential equation is11 May, 2024 (M)Linear Differential Equation
  15. 15If and are arbitrary constants, then the differential equation having as its general solution is10 May, 2024 (M)Formation of Differential Equation
  16. 16The general solution of the differential equation10 May, 2024 (M)Variable Separable Form
  17. 17The order and degree of the differential equation are respectively10 May, 2024 (E)Order and Degree
  18. 18If is the general solution of , then an integrating factor of the differential equation is10 May, 2024 (E)Linear Differential Equation
  19. 19If then09 May, 2024 (M)Formation of Differential Equation
  20. 20The general solution of the differential equation is09 May, 2024 (M)Homogeneous DE
  21. 21The general solution of the differential equation is09 May, 2024 (E)Homogeneous DE
  22. 22The general solution of the differential equation is09 May, 2024 (E)Homogeneous DE
  23. 23If the order and degree of the differential equation corresponding to the family of curves ( is parameter) are and respectively, then14 May, 2023 (M)Order and Degree
  24. 24If the solution of the differential equation is then14 May, 2023 (M)Homogeneous DE
  25. 25The general solution of the differential equation is14 May, 2023 (M)Variable Separable Form
  26. 26If and are the arbitrary constants, then the differential equation corresponding to the family of curves given by is14 May, 2023 (E)Formation of Differential Equation
  27. 27If the solution for the differential equation at is , then14 May, 2023 (E)Homogeneous DE
  28. 28The general solution of the differential equation is14 May, 2023 (E)Linear Differential Equation
  29. 29If A and B are arbitrary constants, then the differential equation having as its general solution is13 May, 2023 (M)Formation of Differential Equation
  30. 30The general solution of the differential equation is13 May, 2023 (M)Exact Forms
  31. 31The general solution of the differential equation is13 May, 2023 (M)Linear Differential Equation
  32. 32The general solution of the differential equation is13 May, 2023 (E)Variable Separable Form
  33. 33The general solution of the differential equation ( is13 May, 2023 (E)Linear Differential Equation
  34. 34If and are respectively the order and degree of the differential equation of the family of parabolas with origin as its focus and X-axis as 12 May, 2023 (M)Order and Degree
  35. 35The general solution of is12 May, 2023 (M)Linear Differential Equation
  36. 36The degree and order of the differential equation of the family of parabolas whose axis is the -axis, are respectively12 May, 2023 (E)Order and Degree
  37. 37The general solution of the differential equation is12 May, 2023 (E)Homogeneous DE
  38. 38The general solution of the differential equation is12 May, 2023 (E)Linear Differential Equation
  39. 39The number of arbitrary constants that appear in the general solution of the differential equation20 Jul, 2022 (M)Order and Degree
  40. 40Assertion : The degree of the differential equation is 2 . Reason : The degree of a differential equation is the highest degree of the highe20 Jul, 2022 (M)Order and Degree
  41. 41Let be the family of curves given by the general solution of the differential equation . Then the equation of the curve belonging to and pas20 Jul, 2022 (M)Variable Separable Form
  42. 42is an equation containing two arbitrar constants and . If the differential equation havin as its general solution is of order, the the diffe20 Jul, 2022 (E)Formation of Differential Equation
  43. 43If and are respectively the order and the degree of the differential equation whose general solution is , then20 Jul, 2022 (E)Order and Degree
  44. 44The general solution of the differential equation is20 Jul, 2022 (E)Linear Differential Equation
  45. 45The equation of any member of the family of all the ellipses whose axes are along the coordinate axes satisfies the differential equation19 Jul, 2022 (M)Linear Differential Equation
  46. 46The degree of the differential equation is19 Jul, 2022 (M)Linear Differential Equation
  47. 47The general solution of the differential equation is19 Jul, 2022 (M)Orthogonal Trajectory
  48. 48Statement I : The differential equation corresponding to the family of circles having their centres on Y-axis and fixed radius is Statement 19 Jul, 2022 (E)Linear Differential Equation
  49. 49If and are respectively the order and the degree of the differential equation representing the family of curves is a parameter , then the va19 Jul, 2022 (E)Linear Differential Equation
  50. 50The general solution of is19 Jul, 2022 (E)Linear Differential Equation

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 171 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS 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 TS EAMCET Mathematics?

Differential Equations has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 171 questions across 64 papers - about 3 per paper it appears in.

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

Of the 171 questions analysed for this chapter, 37% are easy, 51% moderate and 12% tough. 2020 had the most, with 26 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Linear Differential Equation - 52 questions (30%)
  • Formation of Differential Equation - 34 questions (20%)
  • Variable Separable Form - 29 questions (17%)
  • Linear Differential Equation has produced the most tough questions (8).
6.Is Differential Equations's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Differential Equations has averaged about 2.7 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.