Question
For the following differential equation, given below, find particular solution satisfying the given condition:

Solution
The given differential equation is

or
or
or
Separting the variables, we get,
dx
Integrating,
...(1)
Put
...(2)
Mutiplying both sides by
or
...(3)
Put x + 1 = 0 or x = -1 in (3)
2 - 1 = A(1+1)+0+0 



or

Now y = 1 when x = 0


or

or

or

Separting the variables, we get,

Integrating,

Put

Mutiplying both sides by


or

Put x + 1 = 0 or x = -1 in (3)





or


Now y = 1 when x = 0
