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 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 (dy)/(dx)+ycotx=2x+x^2cotx(x!=0) given that y = 0 when x=pi/2 .

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

Find the particular solution of the differential equation (dy)/(dx)=(x y)/(x^2+y^2) given that y=1\ w h e n\ x=0.

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 (dy)/(dx)=-4x y^2 given that y = 1 , when x = 0 .

Find the particular solution of the differential equation (dy)/(dx)=-4x y^2 given that y=1,w h e nx=0.

Find the particular solution of the differential equation. (dy)/(dx)+ycotx=4x\ \ cos e c\ x ,\ (x!=0),\ given that y=0 when x=pi/2dot

Find the particular solution of the differential equation : xe^(y//x)-ysin(y/x)+x(dy)/(dx)sin(y/x)=0 given that when x = 1 , y = 0

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