A solution to dxdy=−xy satisfies y(0)=1. Starting at (0,1), a student moves along the slope field using three successive tangent segments, each 0.1 unit long in the positive x-direction. Which of the following is the best estimate of y when x=0.3?
a) 1.03
b) 0.97
c) 1.00
d) 0.96