Sketching Solution Curves on a Slope Field

Question

All of the following statements are true regarding drawing solution curves on a slope field except:

Accepted Answer

When sketching solution curves on a slope field, one should cross over regions of fundamentally different slopes to create a smooth curve.

Answer

Solution curves must be tangent to the short line segments that indicate the slopes at given points.

Answer

A hand-drawn solution curve should follow the direction suggested by the slope segments without abrupt changes.

Answer

Slope fields provide a visual guide to the behavior of differential equation solutions.