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Differential Equations question

2022 · 25 Jun · Shift 1 · Q35

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JEE Main
Mathematics
Differential Equations
2022 · 25 Jun · Shift 1 · Q35

Differential Equations question

2022 · 25 Jun · Shift 1 · Q35

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y = y(x)

be the solution of the differential equation

(x + 1)y' - y = {e^{3x}}{(x + 1)^2}

, with

y(0) = {1 \over 3}

. Then, the point

x = - {4 \over 3}

for the curve

y = y(x)

is :

A
not a critical point
B
a point of local minima
C
a point of local maxima
D
a point of inflection

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