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

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Solution

Let, the given function be y=x.

Differentiating with respect to x.

d dx ( y )= d dx ( x ) dy dx =1

Again differentiating with respect to x.

d 2 y d x 2 =0

On Substituting the values of y, dy dx and d 2 y d x 2 in each given option, option (C) is satisfying.

Thus, the correct option is (C).

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

Let, the given function be y=x. Differentiating with respect to x. d dx ( y )= d dx ( x ) dy dx =1 Again differentiating with respect to x. d 2 y d x 2 =0 On Substituting the values of y, dy dx and d 2 y d x 2 in each given option, option (C) is satisfying. Thus, the correct option is (C).

Let, the given function be y=x.

Differentiating with respect to x.

d dx ( y )= d dx ( x ) dy dx =1

Again differentiating with respect to x.

d 2 y d x 2 =0

On Substituting the values of y, dy dx and d 2 y d x 2 in each given option, option (C) is satisfying.

Thus, the correct option is (C).