<p>In the barrons exams, they keep giving questions in the MCQ part where they give slope fields and they expect us to get the equation of dy/dx</p>
<p>Is there any rule or way to solve this, or do i just have to try and interpret the graph?</p>
<p>Plug points into the differential equation and the slopes that correspond to those points on the slope field should match what you get after plugging in.</p>
<p>I don’t see how you can obtain the dy/dx from looking at the slope field. If that is what you are referring to. You can obtain the slope through plugging in points to the formula as the person said above.</p>
<p>Just plug in the points where they seem a bit strange.</p>
<p>In particular, I’ve found looking for patterns in your multiple choice answers where dy/dx = 0 and comparing where those sections match up with your slope field to be particularly helpful.</p>
<p>^ya, thats what i do too, at 1st i didn’t get them AT ALL</p>
<p>a few things to watch out for:</p>
<ul>
<li>try the zero’s (when x=0 or when y=0) to eliminate any Obvious ones. You should be left with anywhere from 1-4.</li>
<li>Try the negative, negative quadrant (Quadrant 3) and negative, positive (Quadrant 2) for easy points such as -1, -2 and -1, 2. (usually 1,1 or it’s variations won’t ween out the incorrect one.)</li>
<li>Look for the rate at which the slopes are changing. (ex: y^3 at the numerator, the slopes should be getting steep Real fast compared to a y^2 there as the y value increases.)</li>
</ul>
<p>*If by this time this is multiple choice and you have not got it or reduced down to two, skip and don’t waste all this time. it’s 1 pt.</p>
<p>Btw i saw this problem on 2003 BC multiple choice without a calculator, and yeah it was a *****. I was taking it as a test in class and it definitely took the most time and i messed up anyway. But now i understand it since we went over it with my teacher. Goodluck tomorrow!</p>