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Mathematics - Differential Equations

Practise 26 VITEEE previous year questions on Differential Equations, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Differential Equations has been asked in 14 of the 18 years of VITEEE papers analysed (2006–2024), with 26 questions in all. 23% of them were easy, 27% moderate and 50% tough. Most of its questions came from 2018, with 3 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 6 topics are not weighted equally: Linear Differential Equation (13 questions, 50%), Homogeneous DE (4 questions, 15%), and Order and Degree (3 questions, 12%) have been asked the most. Linear Differential Equation has also led over the last five years, with 2 questions. Linear Differential Equation has produced the most tough questions (7).

  1. 1The differential equation corresponding to the family of curves is2024Formation of Differential Equation
  2. 2Solve : \( (D^2+6 D+8 ) y=e^{-2 x}\).2023Linear Differential Equation
  3. 3The diffrerential equation \( {d y}{d x}+ {1}{x} 2 y=x^3 ^2 y\) represents a family of curves given by the equation2022Linear Differential Equation
  4. 4The solution of the differential equation 0 is2019Variable Separable Form
  5. 5The integrating factor of is2019Linear Differential Equation
  6. 6If the I.F. of the differential equation is , then2018Linear Differential Equation
  7. 7The order and degree of the differential equation whose solution is , where is a parameter, is2018Order and Degree
  8. 8The solution of is2018Linear Differential Equation
  9. 9The solution of the differential equation is2017Linear Differential Equation
  10. 10The solution of the differential equation2016Linear Differential Equation
  11. 11In a culture the bacteria count is . The number is increased by in 2 hours. In how many hours will the count reach if the rate of growth of 2016Applications of DE
  12. 12The differential equation represents a family of2015Homogeneous DE
  13. 13The solution of , where is a non-zero constant, vanishes when and tends of finite limit as tends to infinity, is2015Formation of Differential Equation
  14. 14The solution of , satisfying is given by2014Homogeneous DE
  15. 15If , then is equal to2014Homogeneous DE
  16. 16The differential equation of the rectangular hyperbola hyperbola, where axes are the asymptotes of the hyperbola, is2014Homogeneous DE
  17. 17The solution of the differential equation is2013Linear Differential Equation
  18. 18The solution of the differential equation , is2013Linear Differential Equation
  19. 19If the gradient of the tangent at any point of a curve which passes through the point is , then equation of the curve is2013Linear Differential Equation
  20. 20The solution of the differential equation is2012Linear Differential Equation
  21. 21The general solution of the differential equation is2012Variable Separable Form
  22. 22The order and degree of the differential equation are, respectively2012Order and Degree
  23. 23The order and degree of the differential equation are respectively2011Order and Degree
  24. 24The solution of the differential equation , is2011Variable Separable Form
  25. 25The solution of the differential equation is2009Linear Differential Equation
  26. 26If is a root of , then other two roots are2006Linear Differential Equation

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 26 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Differential Equations has appeared in 14 of the 18 years of VITEEE papers covered here, with 26 questions across 14 papers - about 2 per paper it appears in.

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

Of the 26 questions analysed for this chapter, 23% are easy, 27% moderate and 50% tough. 2018 had the most, with 3 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Linear Differential Equation - 13 questions (50%)
  • Homogeneous DE - 4 questions (15%)
  • Order and Degree - 3 questions (12%)
  • Linear Differential Equation has produced the most tough questions (7).
6.Is Differential Equations's weightage in VITEEE going up or down?

Across all 14 papers analysed, Differential Equations has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.