Drawing Direction Fields for Non-Autonomous Differential Equations

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

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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