Refer to BITSAT Mathematics Differential Equations MCQs provided below available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by BITSAT, NCERT and KVS. Multiple Choice Questions for Differential Equations are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects
MCQ for Full Syllabus Mathematics Differential Equations
Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Differential Equations in Full Syllabus.
Differential Equations MCQ Questions Full Syllabus 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:
MCQs for Differential Equations Mathematics Full Syllabus
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