Let f be a differentiable function with limx→∞f(x)=0. If y′+yf� – InterviewSolution

1.	Let f be a differentiable function with limx→∞f(x)=0. If y′+yf′(x)−f(x)f′(x)=0, limx→∞y(x)=0, then (where y′≡dydx)
Answer» Let $f$ be a differentiable function with $lim x \to \infty f (x) = 0.$ If $y^{'} + y f^{'} (x) - f (x) f^{'} (x) = 0,$ $lim x \to \infty y (x) = 0,$ then $($ where $y^{'} \equiv \frac{d y}{d x})$

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