Which of the following differential equations is consistent with the following slope field?slope field with positive slopes in quadrant 1 and 2, negative slopes in quadrants 3 and 4, horizontal sopes along the y axis and vertical slopes along the x axis

Question

anonymous · Answer

https://gyazo.com/1f934b6340429d26d03ade697b7f1b74

anonymous · Answer

@jim_thompson5910 can you look over it? I couldn't tell which one it was because I wasn't sure if that is for f'' or f'

jim_thompson5910 · Answer

when you're given a slope field, you're basically shown all the possible tangent line slopes at any point (x,y). That's why you see a bunch of line segments laid out like that

jim_thompson5910 · Answer

for instance, at (0,4), the line segment is horizontal. The slope of the tangent line at (0,4) on f is going to be m = 0

anonymous · Answer

Ok so should I test points?

jim_thompson5910 · Answer

honestly, software is probably the best way to go

to do this by hand would be tedious because you'd have to test out a grid of points

jim_thompson5910 · Answer

here's something that should work http://www.mathscoop.com/calculus/differential-equations/slope-field-generator.php

jim_thompson5910 · Answer

let me know if you're not sure how to work it

anonymous · Answer

Good news,  I was right.