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The integrating factor of (xdy)/(dx)-y=x...

The integrating factor of `(xdy)/(dx)-y=x^(4)-3x " is"`

A

x

B

log x

C

`(1)/(x)`

D

`-x`

Text Solution

Verified by Experts

Given that `x(dy)/(dx)-y=x^(4)-3x`
`Rightarrow (dy)/(dx)-(y)/(x)=x^(3)-3`
`"Here" P=-(1)/(x),Q=x^(3)-3`
`IF=e^(intPdx)=e^(int(1)/(x)dx)=e^(-log x)` `=(1)/(x)`
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