A curve y=f(x),x∈R satisfying the differential equation e−axy′+x(ax+2)=a2(1+a2+ax) is increasing only in the interval [−2,1]. If the curve intersects at the positive x and y axes at A(p,0) and B(0,q) such that p+q<4, then [pq] is , where [.] represents the greatest integer function.

A curve y=f(x),x∈R satisfying the differential equation e−axy′+x

1.	A curve y=f(x),x∈R satisfying the differential equation e−axy′+x(ax+2)=a2(1+a2+ax) is increasing only in the interval [−2,1]. If the curve intersects at the positive x and y axes at A(p,0) and B(0,q) such that p+q<4, then [pq] is , where [.] represents the greatest integer function.
Answer» A curve $y = f (x), x \in R$ satisfying the differential equation $e^{- a x} y^{'} + x (a x + 2) = a^{2} (1 + a^{2} + a x)$ is increasing only in the interval $[- 2, 1]$ . If the curve intersects at the positive $x$ and $y$ axes at $A (p, 0)$ and $B (0, q)$ such that $p + q < 4$ , then $[p q]$ is , where $[.]$ represents the greatest integer function.