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Solutio of the differential eqaution (dy...

Solutio of the differential eqaution `(dy)/(dx)+(y)/(x)=sinx` is

A

`x(y+cosx)=sinx+c`

B

`x(y-cosx)=sinx+c`

C

`x(ycosx)=sinx+c`

D

`x(y-cosx)=cosx+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Given,`(dy)/(dx)+(y)/(x)=sinx`
`thereforeIF=e^(int(1)/(x)dx)=x`
`therefore` Solution is `y*x=intxsinxdx+c`
`impliesxy=-xcosx+cinx+c`
`impliesx(y+cosx)=sinx+c`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 06-PAPER 2 (MATHEMATICS)
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