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Mathematics - Differential Equations

Practise 368 MHTCET previous year questions on Differential Equations, compiled from papers spanning 2007 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 MHTCET tests.

Differential Equations has been asked in 16 of the 17 years of MHTCET papers analysed (2007–2026), with 368 questions in all. 33% of them were easy, 58% moderate and 9% tough. Most of its questions came from 2020, with 71 questions that year. In the last three years (2024–2026) it had 148 questions across 59 papers, about 2.5 per paper.

The chapter's 9 topics are not weighted equally: Variable Separable Form (112 questions, 30%), Applications of DE (73 questions, 20%), and Formation of Differential Equation (57 questions, 15%) have been asked the most. Variable Separable Form has also led over the last five years, with 80 questions. Variable Separable Form has produced the most tough questions (11).

  1. 1The order and degree of the differential equation are respectively20 Apr, 2026 (M)Order and Degree
  2. 2If is an integrating factor of the differential equation , then can be20 Apr, 2026 (M)Linear Differential Equation
  3. 3If is a monotonically increasing function such that and , then20 Apr, 2026 (M)Variable Separable Form
  4. 4The order and degree of the differential equation , respectively are20 Apr, 2026 (E)Order and Degree
  5. 5The general solution of the differential equation is ....20 Apr, 2026 (E)Linear Differential Equation
  6. 6The solution of the differential equation represents a family of circles centered at the origin if...19 Apr, 2026 (M)Applications of DE
  7. 7The solution of the differential equation , when and represents ....19 Apr, 2026 (M)Homogeneous DE
  8. 8The solution of the differential equation is...19 Apr, 2026 (E)Variable Separable Form
  9. 9If the solution of the differential equation is , then the LCM of and is...19 Apr, 2026 (E)Linear Differential Equation
  10. 10The differential equation of all lines where the length of the normal from the origin is p and the inclination of the normal is is... (where19 Apr, 2026 (E)Formation of Differential Equation
  11. 11The general solution of the differential equation is18 Apr, 2026 (M)Linear Differential Equation
  12. 12A body cools from to in 20 minutes, the temperature of the surroundings being . The total time taken (in minutes) for the body to cool down 18 Apr, 2026 (M)Applications of DE
  13. 13The equation of the curve whose slope is and which passes through the point is18 Apr, 2026 (M)Variable Separable Form
  14. 14The order and degree of the differential equation are18 Apr, 2026 (E)Order and Degree
  15. 15A spherical raindrop evaporates at a rate proportional to its surface area. The differential equation involving the rate of change of its ra18 Apr, 2026 (E)Applications of DE
  16. 16The integrating factor of the differential equation is18 Apr, 2026 (E)Linear Differential Equation
  17. 17The differential equation of the family of all parabolas whose axis is the -axis is18 Apr, 2026 (E)Formation of Differential Equation
  18. 18The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where is the constant of proportio18 Apr, 2026 (E)Variable Separable Form
  19. 19For the differential equation , it is given that and , then the value of is _____17 Apr, 2026 (M)Homogeneous DE
  20. 20If is a solution of the differential equation , then the values of are17 Apr, 2026 (M)Linear Differential Equation
  21. 21The general solution of the differential equations is...17 Apr, 2026 (E)Variable Separable Form
  22. 22The general solution of the differential equation is...17 Apr, 2026 (E)Linear Differential Equation
  23. 23The rate of reduction is proportional to the square root of a persons existing assets at that moment. If his assets at the beginning are 10016 Apr, 2026 (M)Variable Separable Form
  24. 24The solution of the differential equation is16 Apr, 2026 (M)Linear Differential Equation
  25. 25The degree of the differential equation obtained from the equation [where and b are arbitrary constants] is16 Apr, 2026 (M)Formation of Differential Equation
  26. 26The integrating factor of the differential equation is16 Apr, 2026 (M)Linear Differential Equation
  27. 27If is a polynomial such that and , then16 Apr, 2026 (E)Variable Separable Form
  28. 28The equation of the curve passing through the point (0, 1) and having a slope of the tangent at point is equal to , is16 Apr, 2026 (E)Homogeneous DE
  29. 29If water at cools in 10 minutes to and to in the next 10 minutes, then the room temperature will be ...16 Apr, 2026 (E)Applications of DE
  30. 30For the differential equation , which of the following is true ?16 Apr, 2026 (E)Order and Degree
  31. 31The solution of the differential equation is...15 Apr, 2026 (M)Linear Differential Equation
  32. 32If the differential equation for all and , then...15 Apr, 2026 (M)Variable Separable Form
  33. 33The solution of the differential equation is...15 Apr, 2026 (M)Variable Separable Form
  34. 34The solution of the differential equation , given that when is15 Apr, 2026 (E)Variable Separable Form
  35. 35The order and degree of the differential equation are respectively15 Apr, 2026 (E)Order and Degree
  36. 36The solution of is15 Apr, 2026 (E)Variable Separable Form
  37. 37A spherical balloon expands at a rate proportional to its surface area. Initially its radius is 2 cm and 5 minutes later it increases upto 713 Apr, 2026 (M)Variable Separable Form
  38. 38The solution of the differential equation is13 Apr, 2026 (M)Homogeneous DE
  39. 39If and then is equal to13 Apr, 2026 (M)Variable Separable Form
  40. 40A body cools according to Newton's law of cooling from C to C in minutes. The temperature of the surroundings being C, then the total time r13 Apr, 2026 (E)Applications of DE
  41. 41The general solution of the differential equation is13 Apr, 2026 (E)Linear Differential Equation
  42. 42The differential equation of is13 Apr, 2026 (E)Formation of Differential Equation
  43. 43The order and degree of the differential equation respectively are11 Apr, 2026 (M)Order and Degree
  44. 44The differential equation representing the family of curves is11 Apr, 2026 (M)Formation of Differential Equation
  45. 45The particular solution of the differential equation , when and is11 Apr, 2026 (M)Variable Separable Form
  46. 46The solution of the differential equation , is...11 Apr, 2026 (E)Linear Differential Equation
  47. 47The solution of the differential equation represents a family of11 Apr, 2026 (E)Linear Differential Equation
  48. 48The population of the city at time is given by . If initial population is 100 then05 May, 2025 (E)Variable Separable Form
  49. 49The solution of the equation is05 May, 2025 (E)Variable Separable Form
  50. 50The solution of is05 May, 2025 (E)Variable Separable Form

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 368 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Differential Equations has appeared in 16 of the 17 years of MHTCET papers covered here, with 368 questions across 106 papers - about 3 per paper it appears in.

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

Of the 368 questions analysed for this chapter, 33% are easy, 58% moderate and 9% tough. 2020 had the most, with 71 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Variable Separable Form - 112 questions (30%)
  • Applications of DE - 73 questions (20%)
  • Formation of Differential Equation - 57 questions (15%)
  • Variable Separable Form has produced the most tough questions (11).
6.Is Differential Equations's weightage in MHTCET going up or down?

Across all 106 papers analysed, Differential Equations has averaged about 3.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.