The general solution of e x cosydx−e x sinydy=0 is :

General solution    x   = log | sec y | + C            

Step-by-step explanation:

Step(i):-

Given

           cos y dx = sin y d y

Step(ii):-

now integrating on both sides , we get

by using formula

             x   = log | sec y | + C

Final -

General solution    x   = log | sec y | + C