Specialist2023 Exam 2 Section A · Q7CAS active1 mark

Reading a solution curve from a direction field

A direction field (slope field) for a differential equation drawn on axes with x from −2 to 2 and y from −2 to 2. For negative x the slopes are steeply negative; for positive x the line segments flatten near y = 0 and turn positive, forming U-shaped patterns symmetric about the x-axis.

The direction field for a differential equation is shown above. On a certain solution curve of this differential equation, $y = 2$ when $x = -1$ .

The value of $y$ on the same solution curve when $x = 1.5$ is closest to

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