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dy-e^(x-y)dx=x^(2)e^(-y)dx A) e^(x)=e^(y...

`dy-e^(x-y)dx=x^(2)e^(-y)dx` A) `e^(x)=e^(y)+(x^(3))/(3)+c` B) `e^(x)=e^(y)+(y^(3))/(3)+c` C) `e^(y)=e^(x)+(x^(3))/(3)+c` D)`e^(x-y)=y+(x^(3))/(3)+c`

A

`e^(x)=e^(y)+(x^(3))/(3)+c`

B

`e^(x)=e^(y)+(y^(3))/(3)+c`

C

`e^(y)=e^(x)+(x^(3))/(3)+c`

D

`e^(x-y)=y+(x^(3))/(3)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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