Mathematics Objective Questions and Answers: Differential Equations
Explore reliable objective questions for Differential Equations tailored for BITSAT learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.
Download Differential Equations MCQs with Answers
Navigate directly to the 50 objective questions for Differential Equations using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.
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
Download Multiple Choice Questions: Differential Equations (BITSAT Mathematics)
Explore reliable practice questions for Differential Equations tailored for BITSAT Mathematics learners. Use these multiple-choice formats to evaluate preparedness and strengthen problem-solving skills.
Concept Clarification for Differential Equations
Cross-reference your completed choices with comprehensive NCERT solutions for BITSAT Mathematics to ensure absolute clarity across all sub-topics in this chapter.
Additional Study Resources for BITSAT Mathematics
Follow up your worksheet practice by attempting the interactive online Mathematics MCQ test for this chapter to evaluate your execution speed. All platform resources are free to access.
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.