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" 14."(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2...

" 14."(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2));y=0" when "x=1

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(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2));y=0 if x=1

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

(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

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

(dy)/(dx)-(xy)/(1-x^(2))=(1)/(1-x^(2))

(1+x+xy^(2))(dy)/(dx)+(y+y^(3))=0

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

Find the particular solution of the differential equation (dy)/(dx) + (2xy)/(1+x^(2)) = 1 when y = 0 and x = 1.