,y(1) = 0

It is a homogeneous equation

Put y = vx

And

So,

Integrating both sides we get,

– cos v = – log x + c

put value of v,

– cos = – log x + c …… (1)

Put y = 0, x = 1,We have

c = – 1

Now,

– cos = – log x – 1

log x = cos – 1