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General solution of : x(dy)/(dx)+y=x.e^(...

General solution of : `x(dy)/(dx)+y=x.e^(x)` is

A

`xy=(x+1)e^(x)+c`

B

`xy=(x-1)e^(x)+c`

C

`xy=(1-x)e^(x)+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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