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Differential Equations question

2021 · 27 Aug · Shift 1 · Q28

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JEE Main
Mathematics
Differential Equations
2021 · 27 Aug · Shift 1 · Q28

Differential Equations question

2021 · 27 Aug · Shift 1 · Q28

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let us consider a curve, y = f(x) passing through the point (

-

2, 2) and the slope of the tangent to the curve at any point (x, f(x)) is given by f(x) + xf'(x) = x2. Then :

A
${x^2} + 2xf(x) - 12 = 0$
B
${x^3} + xf(x) + 12 = 0$
C
${x^3} - 3xf(x) - 4 = 0$
D
${x^2} + 2xf(x) + 4 = 0$

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