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(x-y)(1-(dy)/(dx))=e^(y), where x-y=u A...

`(x-y)(1-(dy)/(dx))=e^(y),` where `x-y=u` A)`ue^u-e^u=e^(x)+c` B)`u^(2)=e^(x)+c` C)`u^(2)=(1)/(2)e^(x)+c` D)`u^(2)e^(x)=2x+c`

A

`ue^u-e^u=e^(x)+c`

B

`u^(2)=e^(x)+c`

C

`u^(2)=(1)/(2)e^(x)+c`

D

`u^(2)e^(x)=2x+c`

Text Solution

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The correct Answer is:
A
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