🛠️ 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 _{\mathr…

Q1

Let y = f(x) be the solution of the differential equation y(x + 1)dxx2dy = 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

\(\mathrm{0}\)

b

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

c

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

d

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

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