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If `y(x)` is the .............. |
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Answer» Correct Answer - 1 `(dy)/(dx)=-2x(y-1)` `(dy)/(dx)+2xy =2x` I.F. `=e^(int 2xdx)=e^(x^(2))` solution `implies y.e^(x^(2))= int 2xe^(x^(2)) dx +c` `y.e^(x^(2))=e^(x^(2))+c` ...(1) Given `y(0)=1` `implies 1.1=1+c implies " "c=0` `:. y. e^(x^(2))=e^(x^(2))` (from (1)) `y=1` `:. lim_(x rarr oo) y(x)= lim_(x rarr oo) (1)=1` |
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