Find the general solution of the differential equation (1 + y2) + (x – etan–1y)
given:
To find: solution of given differential equation
Re-writing the given equation as
It is a first order linear differential equation
Comparing it with
Calculating integrating factor
Formula:
Therefore, the solution of the differential equation is given by
Assume
Differentiating both sides
Formula:
Formula:
Substituting t