Let f be a differential function with \lim_{x \rightarrow \infty} {\f}(x)=0. If {\y}^{'}+ {\yf}^{'}(x)- {\f}(x) {\f}^{'}(x)=0, \lim_{x \rightarrow \infty} y(x)=0 then

Correct Answer is : y+1=e−f(x)+f(x)

{\y}+1= {\e}^{ {\f}(x)}+ {\f}(x)

{\y}+1= {\e}^{- {\f}(x)}+ {\f}(x)

{\y}+2= {\e}^{- {\f}( {\x})}+ {\f}(x)

{\y}-1= {\e}^{- {\f}(x)}+ {\f}(x)

WBJEE 2024 Math Paper

Question : 3 of 75

Marks: +1, -0

Let f be a differential function with

lim

x⟶∞

f(x)=0. If y′+yf′(x)−f(x)f′(x)=0,

lim

x⟶∞

y(x)=0 then

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