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Mathematics - Differential Equations

Practise 34 Manipal (MET) previous year questions on Differential Equations, compiled from papers spanning 2010 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 Manipal (MET) tests.

Differential Equations has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 34 questions in all. 47% of them were easy, 38% moderate and 15% tough. Most of its questions came from 2020, with 5 questions that year. In the last three years (2022–2024) it had 1 question across 1 paper, about 1 per paper.

The chapter's 7 topics are not weighted equally: Variable Separable Form (13 questions, 38%), Linear Differential Equation (7 questions, 21%), and Formation of Differential Equation (5 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Linear Differential Equation (4), Formation of Differential Equation (2), and Variable Separable Form (1). Linear Differential Equation has produced the most tough questions (3).

  1. 1Given and for . If maximum value of is , then ' ' is equal to2024Linear Differential Equation
  2. 2Differential equations of the family of curves , where and are arbitrary constants is given by2021Formation of Differential Equation
  3. 3Solution of the equation , where , is given by2020Linear Differential Equation
  4. 4The equation of the curve through the point , whose slope is , is2020Formation of Differential Equation
  5. 5The solution of differential equation is2020Linear Differential Equation
  6. 6The solution of the differential equation is2020Variable Separable Form
  7. 7The general solution of the differential equation is2020Linear Differential Equation
  8. 8The general solution of is2018Variable Separable Form
  9. 9By eliminating the arbitrary constants and from , we get the differential equation2018Formation of Differential Equation
  10. 10If and then is equal to2018Variable Separable Form
  11. 11Differential equations of the family of curves , where and are arbitrary constants is given by2018Formation of Differential Equation
  12. 12The equation of a curve passing through the origin and satisfying the differential equation is2018Variable Separable Form
  13. 13The degree of the differential equation is2017Order and Degree
  14. 14The differential equation of the family of lines passing through the origin is2017Orthogonal Trajectory
  15. 15The solution of the equation is2017Variable Separable Form
  16. 16The differential equation of the family of curves , where and are arbitrary constants, is2016Applications of DE
  17. 17The solution of the differential equation is2016Linear Differential Equation
  18. 18The degree of the differential equation2016Order and Degree
  19. 19Solution of the differential equation is2015Variable Separable Form
  20. 20Order and degree of a differential equation are2015Order and Degree
  21. 21The real value of for which the substitution will transform the differential equation into a homogeneous equation, is2014Variable Separable Form
  22. 22The degree of the differential equation i2013Order and Degree
  23. 23The slope of the tangent at to a curve passing through is given by then the equation of the curve is2013Variable Separable Form
  24. 24The solution of the equation is2013Variable Separable Form
  25. 25If is a solution of and , then equal to2012Linear Differential Equation
  26. 26The order of the differential equation whose general solution is given by where, are arbitrary constants, is2012Order and Degree
  27. 27If and . Then, is equal to2012Exact Forms
  28. 28The solution of differential equation is2012Variable Separable Form
  29. 29The degree and order of the differential equation of the family of all parabolas whose axis is -axis, are respectively2011Orthogonal Trajectory
  30. 30The differential equation satisfied by the family of curve , where are parameters, is2011Formation of Differential Equation
  31. 31Integrating factor of equation is2011Linear Differential Equation
  32. 32The solution of differential equation is2011Variable Separable Form
  33. 33Solution of the differential equation2010Variable Separable Form
  34. 34If the solution of the differential equation represents a circle, then the value of is2010Variable Separable Form

Frequently Asked Questions

1.How many questions are available for Differential Equations?

This chapter includes 34 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Differential Equations has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 34 questions across 12 papers - about 3 per paper it appears in.

4.What is the difficulty level of Differential Equations questions in Manipal (MET)?

Of the 34 questions analysed for this chapter, 47% are easy, 38% moderate and 15% tough. 2020 had the most, with 5 questions.

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

These topics have carried the most weightage in Differential Equations:

  • Variable Separable Form - 13 questions (38%)
  • Linear Differential Equation - 7 questions (21%)
  • Formation of Differential Equation - 5 questions (15%)
  • Linear Differential Equation has produced the most tough questions (3).
6.Is Differential Equations's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Differential Equations has averaged about 2.8 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.