question_answer 20)

y – cos y = x : (y sin y + cos y + x) y’ = y.  

Answer:

Given y – cos y = x …. (1) Differentiate it w.r.t x, we get y’ + sin y.y’ = 1 …. (2) L.H.S. = (y sin y+ cos y + x) y’ = (y + y + y) y’ [Using (1)] = (y’ sin y + y’) y = 1.2 [Using (2)] = y = R.H.S. Therefore, the given function is the required solution of the differential eauation.