Find the general solution of the differential equation (1 + y²) + (x – e^tan–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