Specialist2025 Exam 2 Section A · Q8CAS active1 mark

Matching a direction field to a differential equation

A direction field on axes from x = -2 to 2 and y = -2 to 2. The slope segments are symmetric about the y-axis, are negative (sloping down) on the positive y-axis near x = 0, horizontal along a parabola-like curve, and become steep and positive for large |x| and for negative y.

Consider the direction field below.

The direction field best represents the differential equation

1 mark

\frac{dy}{dx} = x^2 - y

\frac{dy}{dx} = x - y^2

\frac{dy}{dx} = y - x

\frac{dy}{dx} = x - y

Hints, answer checking and worked solutions come with a Season Pass.