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A differential equation of the form dy/d...

A differential equation of the form `dy/dx+Py=Q` is said to be a linear differential equation. Integrating factor of this differential equation is `e^int Pdx` and its solution is given by `y.e^(int Pdx)=int (Qe^(int Pdx))dx+c`. Answer the question:Let `f(x)` be a differentiable function in intervel `(0, oo)` such that `f(1)=1` and `lim_(trarrx) (t^2f(x)-x^2f(t))/(t-x)=1` for all `x gt 0`. Then `f(x)`= (A) `1/(3x)+(2x^2)/3` (B) `-1/(3x)+(4x^2)/3 (C) `-1/x+2/x^2` (D) `1/x`

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