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Let, y =f ( x ) be the solution of the differential equation \(y(x+1)dx−{x}^{2}dy=0,y(1)=e.\) Then \(\lim _{x\to {0}^{+}…

Q1

Let, y =f (x) be the solution of the differential equation \(y(x+1)dx−{x}^{2}dy=0,y(1)=e.\) Then \(\lim _{x\to {0}^{+}}f(x)\)is equal to

[JEE Main 2023, 29 Jan (Shift 1)]

a

0

b

\(\frac{1}{e}\)

c

e2

d

\(\frac{1}{{e}^{2}}\)

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