1.

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

Answer» `(1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2))`
`implies (dy)/(dx)+(2x)/(1+x^(2))y=(1)/((1+x^(2))^(2))`
यहाँ, `P=(2x)/(1+x^(2))` तथा `Q=(1)/((1+x^(2))^(2))`
`I.F.=e^(intPdx)=e^(int(2x)/(1+x^(2))dx)`
`therefore =e^(log(1+x^(2)))=(1+x^(2))`


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