Find the particular solution of the differential equation `xcos(y/x)(dy)/(dx)=ycos(y/x)+x\ ` given that when `x=1,\ y=pi/4dot`

Find the particular solution of the differential equation x cos((y)/(x))(dy)/(dx)=y cos((y)/(x))+x given that when x=1,y=(pi)/(4)

Find the particular solution of the differential equation x(dy)/(dx)=y+x cosec ((y)/(x))=0; given that y=0 when x=1

Find the particular solution of the differential equation x(dy)/(dx)-y+xcos e c(y/x)=0; given that y=0 when x=1.

Find the particular solution of the differential equation x.(dy)/(dx) - y + sin((y)/(x)) = 0 , given that when x = 2, y = pi .

Find the particular solution of the differential equation (x-y)(dy)/(dx)=x+2y ,\ given that when x=1,\ y=0.

Find the particular solution of the differential equation x(dy)/(dx) - y = (x + 1 ) e^(-x) given that y = 0 when x = 1 .