Cal BC: integrating factors, continuous growth, logistic...

<p>integrating factors have been on a couple of old exams, and continuous growth is in the barron's. </p>

<p>logistic growth was a surprise last year... will one of the above be a surprise topic this year?</p>

<p>what are integrating factors...?</p>

<p>You multiply a first-order linear ordinary differential equation by an integrating factor to express the left side as the derivative of a product. This allows you to integrate both sides to get the solution.</p>

<p>I've also never heard of Integrating Factors, but I just looked it up on Google. What years was that present on? And was that the only way to solve the equation? It seems to me that if that were applicable there would also be another, more common, way to solve it.</p>

<p>Was logistic really a surprise in 04? Idk. I went over it during my AB review last year. Maybe that was a bad idea, since I got a 4. Who knows. Isn't the curve for this one nice? I mean, we don't have to be that nit-picky, right?</p>

<p>example of integrating factor please...</p>

<p>i think he means solving first order diff. eqs by separation of variables. integrating factors is beyond calc bc, i think...hope.</p>

<p>what are they?? im so curious now</p>

<p>ya, that's referring to initial value probs... with a twist, ur given something that shows change in rate in change in something else, and they want u to integrate the original rate prob...</p>

<p>If you know how to solve for dy/dt = ky when t = variable and y = variable, you'll do just fine.</p>

<p>yea i just checked my calc textbook. integrating factors is in the back, in the section regarding differential equations.</p>

<p>I really doubt that you will have to do any integrating factors. I mean maybe some elementary diff. equations with Initial Conditions and Seperation of Variables. Logistic definately wasn't that much of a surprise last year. It was on the outline.</p>