🛠️ JEE➗ Maths

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

Q1

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

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

a

\(0\)

b

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

c

\({\mathrm{e}}^{2}\)

d

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

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