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Chapter 9 Differential Equations Ex 9.3 Solutions

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

Answer - 11 : -

The given equation is:
┬а
Differentiating with respect to x, we get:
┬а
Again, differentiating with respect to x, we get:
┬а
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┬а┬аas one of its particular solution?
A.┬а┬а
B.┬а┬а
C.┬а┬а
D.┬а┬а

Answer - 12 : -

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

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