(3)
Now (3) represents the equation of family of curves But we are interested in
finding a particular member of the family passing through (0, 1) Substituting x = 0 and
y = 1 in equation (3) we get
1 = – 1 + C e0   or   C = 2
Substituting the value of C in equation (3), we get
y =
2
2
1
2
x
e
− +
which  is the equation of the required curve