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Solution of y dx - x dy = x^(2)ydx is...

Solution of y `dx - x dy = x^(2)ydx` is

A

`(y)/(x)+e^(x)=c`

B

`(x)/(y)+e^(x)=c`

C

`x+e^(y)=c`

D

`y+e^(x)=c`

Text Solution

Verified by Experts

The correct Answer is:
A
`xdy-ydx+x^(2)e^(x)dx=0`
`implies(xdy-ydx)/(x^(2))+e^(x)dx=0`
`impliesd((y)/(x))+e^(x)dx=0`
On integrating, we get
`(y)/(x)+e^(x)=c`
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