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Differential Equations question

2023 · 10 Apr · Shift 1 · Q36

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JEE Main
Mathematics
Differential Equations
2023 · 10 Apr · Shift 1 · Q36

Differential Equations question

2023 · 10 Apr · Shift 1 · Q36

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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 :

A
160
B
210
C
150
D
180

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