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The solution of dy/dx+x=xe^((n-1)y)...

The solution of `dy/dx+x=xe^((n-1)y)`

A

`(1)/(n-1)log[(e^((n-1)y)-1)/(e^((-1)y))]=(x^(2))/(2)+C`

B

`e^((n-1)y)=Ce^((n-1)y+(n-1)x^(2)//2)+1`

C

`log[(e^((n-1)y)-1)/((n-1)e^((n-1)y))]=x^(2)+C`

D

`e^((n-1)y)=Ce^((n-1)x^(2)//2+x)+1`

Text Solution

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The correct Answer is:
B
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