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Chapter 9 Differential Equations Ex 9.3 Solutions

Question - 11 : - Which of the following differential equations has as the general solution?
A.  
B.  
C.  
D.  

Answer - 11 : -

The given equation is:
 
Differentiating with respect to x, we get:
 
Again, differentiating with respect to x, we get:
 
This is the required differential equation of the given equation of curve.
Hence, the correct answer is B.

Question - 12 : -
Which of the following differential equation has  as one of its particular solution?
A.  
B.  
C.  
D.  

Answer - 12 : -

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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