Differential Equations Question 237
Question: The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a, 0) where a > 0, are respectively
Options:
A) 1, 1
B) 2, 1
C) 1, 2
D) 2, 2
Show Answer
Answer:
Correct Answer: A
Solution:
[a] The eq. of parabolas having vertex at (0, 0) & focus at (a, 0), where (a > 0) is: $ y^{2}=4ax $
- (i) $ 2y.\frac{dy}{dx}=4a $ [On differentiating] On putting the value of (4a) in eq. (1) we get, $ 2x.\frac{dy}{dx}-y=0 $ in order =1 & degree = 1.
BETA
