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

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

Find the particular solution of the differential equation :x(x^(2)-1)(dy)/(dx)=1;y=0; when x=2

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

Find the particular solution of the differential equation x(x^(2)-a)(dy)/(dx)=1;quad y=0 when x=2

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

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

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