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Mathematics - Differential Equations

Practise 27 BITSAT previous year questions on Differential Equations, compiled from papers spanning 2009 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 BITSAT tests.

Differential Equations has been asked in 16 of the 16 years of BITSAT papers analysed (2009–2024), with 27 questions in all. 30% of them were easy, 56% moderate and 15% tough. Most of its questions came from 2018, with 3 questions that year. In the last three years (2022–2024) it had 5 questions across 5 papers, about 1 per paper.

The chapter's 6 topics are not weighted equally: Linear Differential Equation (13 questions, 48%), Variable Separable Form (6 questions, 22%), and Order and Degree (3 questions, 11%) have been asked the most. Linear Differential Equation has also led over the last five years, with 6 questions. Linear Differential Equation has produced the most tough questions (2).

  1. 1If , then2024 (Memory Based Paper 2)Linear Differential Equation
  2. 2The solution of the differential equation is2024 (Memory Based Paper 3)Linear Differential Equation
  3. 3The number of solutions of , when is2023 (Memory Based Paper 1)Variable Separable Form
  4. 4The integrating factor of is2023 (Memory Based Paper 2)Linear Differential Equation
  5. 5, find general solution2022Linear Differential Equation
  6. 6If the slope of the tangent to the curve at any point is , then the equation of a curve passing through is2021Homogeneous DE
  7. 7The general solution of the differential equation is2021Linear Differential Equation
  8. 8The solution of the differential equation is2020Linear Differential Equation
  9. 9The solutions of are2020Variable Separable Form
  10. 10Solution of the equation d y d x = e x - y e x - e y is2019Linear Differential Equation
  11. 11If f ' x = f x + 0 1 f x d x , f 0 = 1 , then f x =2019Linear Differential Equation
  12. 12Solution of the differential equation d y d x = sin x + y + cos x + y is equal to2018Linear Differential Equation
  13. 13The equation of the curve whose slope at any point is equal to y + 2 x and which passes through the origin is2018Applications of DE
  14. 14The solution of the differential equation d 2 y d x 2 = sin 3 x + e x + x 2 when y 1 0 = 1 and y 0 = 0 , is2018Variable Separable Form
  15. 15The solution of d y d x = cos x + y + sin x + y , is2017Linear Differential Equation
  16. 16For any differentiable function of ,2016Formation of Differential Equation
  17. 17If is a differential function, then the solution of the differential equation is2015Homogeneous DE
  18. 18If then is2015Formation of Differential Equation
  19. 19The degree of the differential equation satisfying is2015Order and Degree
  20. 20Solution of differential equation2014Variable Separable Form
  21. 21The general solution of the differential equation is2013Variable Separable Form
  22. 22The solution to the differential equation where is a given function is2013Linear Differential Equation
  23. 23The differential equation whose solution is where and are arbitrary constants is of2012Order and Degree
  24. 24The degree of the differential equation \( ( {d^3 y}{d x^3} )^{2 / 3}+4-3 {d^2 y}{d x^2}+5 {d y}{d x}=0\) is2011Order and Degree
  25. 25The area of the region bounded by the curve \(y=x|x|, x\)-axis and the ordinates \(x=1, x=-1\) is given by :2010Linear Differential Equation
  26. 26What is the solution of \( {d y}{d x}+2 y=1\) satisfying \(y(0)=0\) ?2010Variable Separable Form
  27. 27Area of the triangle formed by the line \(x+y=3\) and angle bisectors of the pair of straight lines \(x^2-y^2+2 y=1\) is2009Linear Differential Equation

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 27 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Differential Equations has appeared in 16 of the 16 years of BITSAT papers covered here, with 27 questions across 18 papers - about 2 per paper it appears in.

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

Of the 27 questions analysed for this chapter, 30% are easy, 56% moderate and 15% 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 (48%)
  • Variable Separable Form - 6 questions (22%)
  • Order and Degree - 3 questions (11%)
  • Linear Differential Equation has produced the most tough questions (2).
6.Is Differential Equations's weightage in BITSAT going up or down?

Across all 18 papers analysed, Differential Equations has averaged about 1.5 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.