Differential Equations Question 97
Question: The differential equation of the family of curves represented by the equation $ x^{2}+y^{2}=a^{2} $ is
Options:
A) $ x+y\frac{dy}{dx}=0 $
B) $ y\frac{dy}{dx}=x $
C) $ y\frac{d^{2}y}{dx^{2}}+{{( \frac{dy}{dx} )}^{2}}=0 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Given equation $ x^{2}+y^{2}=a^{2} $ . Differentiate it w.r.t. x, we get $ 2x+2y\frac{dy}{dx}=0 $
Therefore $ x+y\frac{dy}{dx}=0 $ .
BETA
