Find BITSAT Mathematics Differential Equations MCQs below. Practice the MCQ Questions for BITSAT Differential Equations Mathematics with answers designed around official BITSAT, NCERT, and KVS styles. Look into more chapter-wise MCQs for BITSAT BITSAT Mathematics and grab additional latest study materials for all subjects.
MCQ for BITSAT Mathematics Differential Equations
Review these 50 questions and answers for BITSAT Mathematics to improve your problem-solving skills for Differential Equations.
Get Differential Equations MCQs for BITSAT Mathematics
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:
Free study material for Mathematics
Multiple Choice Questions (MCQs) for BITSAT Mathematics Differential Equations
Practice MCQs: Differential Equations (BITSAT)
Explore these MCQs for Differential Equations to assess your knowledge levels instantly. Created per the latest BITSAT guidelines for BITSAT Mathematics, these multiple-choice questions are ideal for regular drills. Consistent problem-solving on these objective tasks secures higher marks in school assessments.
Core Objective Practice Sets for Differential Equations
Our professional educators designed these Mathematics MCQs using the official NCERT book for BITSAT, selecting questions from vital exam topics. Verify your work with our answers, and explore our specialist NCERT solutions for BITSAT Mathematics to completely master Differential Equations.
Master BITSAT Mathematics with Online MCQ Tests
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 it is 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.