Question
Solve the following initial value problem:
(x + y + 1)2 dy = dx, y ( –1) = 0
Solution
The given differential equation is
(x + y + 1)2 dy = dx
or
Put


or
Separating the variables and integrating, we get,


Now

which is required solution.
(x + y + 1)2 dy = dx
or

Put



or

Separating the variables and integrating, we get,


Now


which is required solution.