1.

If y(x) is a solution of (1+x)^((dy)/(dx)) = 1+ xy and y(0) = -1, then y(1) =

Answer»

Solution :`(DY)/(dx)+ (-X)/(1+x) y = 1/(1+x)`
I.F. `=E^(-INT(x/(1+x))dx) = (1+x)e^(-x)`
Solution y(x) is given by
`y XX (1+x)e^(-x) = int e^(-x) dx = -e^(-x) +C`
`y(1) = -1/2`


Discussion

No Comment Found

Related InterviewSolutions