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Differential equation (dy)/(dx)=f(x)g(x)...

Differential equation `(dy)/(dx)=f(x)g(x)` can be solved by separating variable `(dy)/g(y)=f(x)dx.`
If `(dy)/(dx)=1+x+y+xy and y(-1)=0,` then y is equal to

A

`e^((1-x^(2))/(2))`

B

`e^((1+x^(2))/(2)-1)`

C

In (1+x)-1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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