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.