Differential Equations Question 96
Question: The differential equation of all the lines in the xy-plane is
Options:
A) $ \frac{dy}{dx}-x=0 $
B) $ \frac{d^{2}y}{dx^{2}}-x\frac{dy}{dx}=0 $
C) $ \frac{d^{2}y}{dx^{2}}=0 $
D) $ \frac{d^{2}y}{dx^{2}}+x=0 $
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Answer:
Correct Answer: C
Solution:
The equation of all the lines in xy-plane is given by $ y=mx+c $
Differentiate it twice w.r.t. x, we get $ \frac{d^{2}y}{dx^{2}}=0 $ .