Q. 175.0( 2 Votes )

Find the general solution of the differential equation (1 + y2) + (x – etan–1y)

Answer :

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



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