Drawing Direction Fields for Non-Autonomous Differential Equations

[beth192]

Direction field
Do anybody have a hint for drawing direction field of a non-autonomous differential equation? I mean do I have to calculate as many slopes of points as possible, then draw it?

Also,
Can I conclude that if we use Euler's Method to estimate a CONCAVE UP/ CONCAVE DOWN solution of differential equation, the estimation will be underestimate/overestimate?

 

[HallsofIvy]

This is NOT a tutorial! I am moving it to the "Calculus and Beyond" Homework and Coursework section.