`(1+x^(2)) dy/dx + 2xy = 4x^(2),` given y = 0 , when x = 0

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

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

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

(dy)/(dx) + 2xy = x , given that y =1 when x =0

(1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1

(1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1

the particular solution of (1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1 is

Solve: (1-x^2)(dy)/(dx)-xy=x^2 , given y = 2 when x= 0.