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Find the particular solution of the differential equation `x(dy)/(dx)+y+ (1)/(1+x^(2))= 0`, given that y(1)= 0

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Knowledge Check

  • Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

    A
    `x^(2)+y^(2)+x^(4)=0`
    B
    `x^(2)-y^(2)-x^(4)=0`
    C
    `x^(2)+y^(2)-x^(4)=0`
    D
    ` x^(2)-y^(2)+x^(4)=0`

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

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