JEE Main & Advanced
Mathematics
Differential Equations
Question Bank
Critical Thinking
question_answer
The differential equation representing the family of curves \[{{y}^{2}}=2c(x+\sqrt{c}),\]where c is a positive parameter, is of [IIT 1999; AIEEE 2005; MP PET 2002]
A)Order 1
B)Order 2
C)Degree 3
D)Degree 4
Correct Answer:
A
Solution :
Given curve is \[{{y}^{2}}=2c\text{ }(x+\sqrt{c}).\]