Practice BITSAT Mathematics Differential Equations MCQs provided below. The MCQ Questions for BITSAT Differential Equations Mathematics with answers and follow the latest BITSAT/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for BITSAT BITSAT Mathematics and also download more latest study material for all subjects
MCQ for BITSAT Mathematics Differential Equations
BITSAT Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Differential Equations
Differential Equations MCQ Questions BITSAT Mathematics with Answers
Question: If Φ (x) is a differential function, then the solution of the differential equation dy + {y Φ(x) – Φ (x) Φ(x)}dx = 0, is
- a)
- b)
- c)
- d)
Answer:
Question: The degree of the differential equation satisfying 
is
- a) 1
- b) 2
- c) 3
- d) 4
Answer: 1
Question: Solution of differential equation
- a) y2 = x2 (ln x2 – 1) + C
- b) y = x2 (ln x – 1) + C
- c) y2 = x (ln x – 1) + C
- d) y = x2 ex + C
Answer: y2 = x2 (ln x2 – 1) + C
Question: The general solution of the differential equation
+ sin(x+y) = sin (x-y) is
- a) log tany + sin x = C
- b)
- c)
- d) None of these
Answer:
Question: The solution to the differential equation
where f (x) is a given function is
- a) f (x) = y(x + c)
- b) f (x) = cxy
- c) f (x) = c(x + y)
- d) yf (x) = cx
Answer: f (x) = y(x + c)
Question: The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of
- a) Second order and second degree
- b) First order and second degree
- c) First order and first degree
- d) Second order and first degree
Answer: Second order and first degree
Question: The degree of the differential equation
is
- a) 1
- b) 2
- c) 3
- d) None of these
Answer: 2
Question: What is the solution of 
satisfying y(0) = 0 ?
- a)
- b)
- c) y = 1+ ex
- d)
Answer:
Question: The solution of differential equation 
represents a family of
- a) Circles
- b) Straight lines
- c) Ellipses
- d) Parabola
Answer: Parabola
Question: Solution of the differential equation
is
- a) x (y + cosx) = cos x + C
- b) x (y – cosx) = sinx + C
- c) x (y + cosx) = sinx + C
- d) None of these
Answer: x (y + cosx) = sinx + C
Question: The solution of 
represents a parabola when
- a) a = 0, b = 0
- b) a = 1, b = 2
- c) a = 0, b ≠ 0
- d) a = 2, b = 1
Answer: a = 0, b ≠ 0
Question: The solution of the equation 
is
- a)
- b)
- c)
- d) None of these
Answer:
Question: The general solution of 
is-
- a)
- b)
- c) y = 2cx
- d)
Answer:
Question: Integrating factor of differential equation 
is
- a) sec x
- b) sin x
- c) cos x
- d) tan x
Answer: sec x
Question: The solution of differential equation
is
- a) y–1 sec x = cot x + c
- b) y–1 cosx = tan x + c
- c) y–1 sec x = tanx + c
- d) None of these
Answer: y–1 sec x = tanx + c
Question: The solution of 
satisfying y (1) = 0 is :
- a) tan y = (x - 2) ex log x
- b) sin y = ex (x -1)x-4
- c) tan y =(x -1)ex x-3
- d) sin ( 1) x y=e x - x-3
Answer: sin y = ex (x -1)x-4
Question: The degree of the differential equation of all tangent lines to the parabola y2 = 4ax is
- a) 1
- b) 2
- c) 3
- d) 4
Answer: 2
Question: The degree of the differential equation satisfying is
- a) 1
- b) 2
- c) 3
- d) 4
Answer: 1
Question: Solution of differential equation
- a) y2 = x2 (ln x2 – 1) + C
- b) y = x2 (ln x – 1) + C
- c) y2 = x (ln x – 1) + C
- d) y = x2 ex + C
Answer: y2 = x2 (ln x2 – 1) + C
Question: The general solution of the differential equation+ sin(x+y) = sin (x-y) is
- a) log tany + sin x = C
- b)
- c)
- d) None of these
Answer:
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MCQs for Differential Equations Mathematics BITSAT
Students can use these MCQs for Differential Equations to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for BITSAT Mathematics released by BITSAT. Our expert teachers suggest that you should practice daily and solving these objective questions of Differential Equations to understand the important concepts and better marks in your school tests.
Differential Equations NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for BITSAT. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Differential Equations, you should also refer to our NCERT solutions for BITSAT Mathematics created by our team.
Online Practice and Revision for Differential Equations Mathematics
To prepare for your exams you should also take the BITSAT Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
FAQs
You can get most exhaustive BITSAT Mathematics Differential Equations MCQs for free on StudiesToday.com. These MCQs for BITSAT Mathematics are updated for the 2026-27 academic session as per BITSAT examination standards.
Yes, our BITSAT Mathematics Differential Equations MCQs include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the BITSAT paper is now competency-based.
By solving our BITSAT Mathematics Differential Equations MCQs, BITSAT students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for BITSAT have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused BITSAT exams.
Yes, you can also access online interactive tests for BITSAT Mathematics Differential Equations MCQs on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.