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The solution of differential equation (d...

The solution of differential equation `(dy)/(dx)=e^(x-y)+x^(2)e^(-y)`is

A

`y=e^(x-y)-x^2e^(-y)+C`

B

`e^y-e^x=x^3/3+C`

C

`e^y+e^x=x^3/3+C`

D

`e^x-e^y=x^3/3+C`

Text Solution

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The correct Answer is:
B
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