# Chapter 10: Ordinary Differential Equations - Online Test

Q1. The order and degree of the differential equation  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
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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 + Bex , where A and B are arbitrary constants is
Answer : Option B
Explaination / Solution:

Q6. The general solution of the differential equation  is
Answer : Option C
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Q7. The solution of the differential equation  represents
Answer : Option C
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Q8.

The solution of  is

Answer : Option B
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Q9. The integrating factor of the differential equation
Answer : Option B
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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: