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Which of the following differential equa...

Which of the following differential equations has `y = x` as one of its particular solution?

A

`(d^(2)y)/(dx^(2))- x^(2)(dy)/(dx) + xy = x`

B

`(d^(2)y)/(dx^(2)) + x(dy)/(dx)+xy = x`

C

`(d^(2)y)/(dx^(2))-x^(2)(dy)/(dx)+xy = 0`

D

`(d^(2)y)/(dx^(2)) + x(dy)/(dx) + xy = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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