Let … be a differentiable function such that …, …. Then … is equal to :

Differential Equations

JEE Main 2023 · 10 Apr, Morning shift · Q3561

MathematicsMedium38×since 2002Q3561

Let

f

be a differentiable function such that

{x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt}

f(1) = {2 \over 3}

. Then

18f(3)

is equal to :

JEE Main 2023 · 10 Apr, Morning shift · Q3561

MathematicsMedium38×since 2002Q3561

Let

f

be a differentiable function such that

{x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt}

f(1) = {2 \over 3}

. Then

18f(3)

is equal to :