The curve f(x,y)=0 passing through (0,2) satisfy the differential equa – InterviewSolution

1.	The curve f(x,y)=0 passing through (0,2) satisfy the differential equation dydx=y3ex+y2. If the line x=ln5 intersects it at points y=α and y=β, then the value of 2\|α+β\| is
Answer» The curve $f (x, y) = 0$ passing through $(0, 2)$ satisfy the differential equation $\frac{d y}{d x} = \frac{y^{3}}{e^{x} + y^{2}} .$ If the line $x = ln 5$ intersects it at points $y = α$ and $y = β,$ then the value of $2 \| α + β \|$ is

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