Chapter 10: Ordinary Differential Equations - Online Test
Q1. The order and degree of the differential
equation 
are respectively
are respectively
Answer : Option A
Explaination / Solution:
Q2. The differential equation representing the
family of curves y = A cos(x + B),
where A and B are parameters, is
Answer : Option B
Explaination / Solution:
Q3. The order and degree of the differential
equation √sin x ( dx +
dy ) = √cos x ( dx −
dy) is
Answer : Option C
Explaination / Solution:
Q4. The order of the differential equation of all
circles with centre at ( h, k ) and radius ‘a’ is
Answer : Option B
Explaination / Solution:
Q5. The differential equation of the family of
curves y = Aex + Be−x , where A and B are arbitrary constants is
Answer : Option B
Explaination / Solution:
Q6. The general solution of the differential
equation 
is
is
Answer : Option C
Explaination / Solution:
Q7. The solution of the differential equation 
represents
represents
Answer : Option C
Explaination / Solution:
Q8.
The
solution of 
is
Answer : Option B
Explaination / Solution:
Q9. The integrating factor of the differential
equation 
Answer : Option B
Explaination / Solution:
Q10. The integrating factor of the differential
equation dy/ dx + P ( x) y
= Q(x) is x, then P(x)
Answer : Option C
Explaination / Solution:
