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JEE Math Practice Question

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 :

  1. A.not a critical point
  2. B.a point of local minima
  3. C.a point of local maxima
  4. D.a point of inflection

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