Question

Let y = y(x) be the solution of the differential equation (x + 1)y' – y = e^3x(x + 1)², with y(0) = 1/3 . Then, the point x =-4/3 - 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

Answer 1

Correct option is (B) a point of local minima

(x + 1)dy - y dx = 3^ex(x + 1)²