A slope field for an unknown differential equation has been sampled at lattice points

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A slope field for an unknown differential equation has been sampled at lattice points. The slope at

(0,1)

2

, and the slope at

(1,3)

4

. Starting at

(0,1)

, what is the best estimate of the

y

-coordinate of the solution curve at

x=2

if two Euler steps of size

\Delta x = 1

are taken along those lattice points? (a)

5

(b)

7

(c)

3

(d)

9