JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Analyzing +4 | -1

For

x \in R, x \neq 0

, if

y(x)

is differentiable function such that

x \int_1^x y(t) d t=(x+1) \int_1^x t y(t) d t

, then

y(x)

equals (where

C

is a constant).

View answer and explanation

Correct option: D

\frac{C}{x^3} e^{-1 / x}

Option D (

\frac{C}{x^3} e^{-1 / x}

) is correct because it is the solution to the differential equation obtained after differentiating the given integral equation twice.

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