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+x cosec ((y)/(x))=0; given that y=0 when x=1

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