Differential Equations Question 225
Question: The degree and order of the differential equation of the family of all parabolas whose axis is x-axis, are respectively
[AIEEE 2003]
Options:
A) 2, 1
B) 1, 2
C) 3, 2
D) 2, 3
Show Answer
Answer:
Correct Answer: B
Solution:
$ y^{2}=\pm 4a(x-h) $
Therefore $ 2yy_1=\pm 4a $
Therefore $ yy_1=\pm 2a $
Therefore $ y_1^{2}+yy_2=0 $
Hence degree = 1, order = 2.