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Which of the following differential equ...

Which of the following differential equations has y = x as one of its particular solution?(A) `(d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x` (B) `(d^2y)/(dx^2)+x(dy)/(dx)+x y=x` (C) `(d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0` (D) `(d^2y)/(dx^2)+x(dy)/(dx)+x y=0

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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