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Question -

Which of the following differential equation has  as one of its particular solution?
A.  
B.  
C.  
D.  



Answer -

The given equation of curve is y = x.
Differentiating with respect to x, we get:
 
Again, differentiating with respect to x, we get:
 
Now, on substituting the values of y,   from equation (1) and (2) in each of the given alternatives, we find that only the differential equation given in alternative C is correct.
 
Hence, the correct answer is C.

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