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Identify the statement(s) which is/are t...

Identify the statement(s) which is/are true.

A

The order of differential equation `sqrt(1+(d^(2)y)/(dx^(2)))=x` is 1.

B

Solution of the differential equation
`xdy-ydx=sqrt(x^(2)+y^(2))dx` is `y+sqrt(x^(2)+y^(2))=Cx^(2).`

C

`(d^(2)y)/(dx^(2))=2((dy)/(dx)-y)` is differential equation of family of curves `y=e^(x)(Acosx+Bsinx)`.

D

The solution of differential equation
`(1+y^(2))+(x-2e^(tan^(-1)y))(dy)/(dx)=0 " is" " " xe^(tan^(-1)y)=c^(2tan^(-1)y+k.`

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The correct Answer is:
B, C, D
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