<p>THNX SO MUCH ^^
I still dont get where you got the I.F=> e^(-2x)</p>
<p>A side note: I don't do the US curriculum so I have no idea how "hard" that question was supposed to be.</p>
<p>I.F is the integrating factor necessary to solve the differential equation, since it is inseperable. You should learn this right after 1st order seperable but before 2nd order constant coeff.</p>
<p>To find the integrating factor (this is all from memory so don't kill me if anything is wrong):</p>
<p>For a differential equation of the form:</p>
<p>dy/dx + P(x)*y = Q(x)</p>
<p>Where P and Q are functions of x only, the integrating factor is e^(integral of p dx). Multiply both sides by the integrating factor. Now you have:</p>
<p>e^(integral of p dx)<em>dy/dx +e^(integral of p dx)</em>P(x)<em>y = e^(integral of p dx)</em>Q(x)</p>
<p>But observe that the LHS is the differential of y*e^(integral of p dx)!</p>
<p>Now the equation reduces to:
d/dx(y<em>e^(integral of p dx)) =e^(integral of p dx)</em>Q(x)</p>
<p>Which can be solved easily.</p>
<p>Integrating Factors is on the Differential Equations chapter... (Calc III) Why would it even be on the BC exam?</p>
<p>Like I said I don't do the US curriculum so I have no idea. Surely you do know insep. ODEs! I mean you are talking about power series etc. obviously you should know about I.F.</p>
<p>we stopped on chapter 11 vector variable functions.. from chapter 12 on its multivariable calculus. (power series was on chapter 8)
IF is on chapter 15...</p>
<p>yeah... so I am screwed for sure...</p>
<p>I have done it~~ I have finished the calc book</p>
<p>I will score a 5 and make all of you look stupid
I will get every single question right </p>
<p>muhahahahaha</p>
<p>i guess the minuium hour of calc i do every night. (check the thread i posted in about screwing my self over) isn't paying off GOSH IM A LIAR.. i know i don't practice that much</p>
<p>Does BC Calc have Fourier Series, Vectors and Motion in SPace, and Graphical Solutions of Autonomous Differential Equations + Euler's Method?</p>
<p>I don't think fourier series are on it, but the rest are.</p>
<p>As far as series goes, know your baby tests (about 8 of them) and power series. To be quite honest, BC will require a LOT of deriving future things from the previous material for ex. the problem posted a few postings ago can also be solved w/o the use of differential equations. (By separation of variables) so.. make sure you know your stuff well.</p>
<p>Ok, thanks.</p>
<p>BTW (from Stanford EPGY's syllabus):, this is what they teach in the C course.</p>
<p>Lesson Contents
Lesson Content
4900 A Rigorous Treatment of Limits
4910 A Rigorous Treatment of Limits Continued
4920 Limit Laws Revisited
4930 Continuity
4940 Improper Integrals
4950 A Review of L'Hopital's Rule
4960 More Uses for L'Hopital's Rule
4970 Related Rate Problems
5000 Numerical Methods
5010 Trigonometric Substitution
5020 Integration by Parts
5030 Messier Integration by Parts
5040 Integrating Powers of Sine and Cosine
5050 Integrals with Quadratic Terms
5060 The Method of Partial Fractions
5070 An Application of Integration
5080 Arc Length
5090 Surface Area
5100 Sequences - The Groundwork of Your Edification
5110 Monotonic Sequences
5120 The Topology of R and Boundedness of Sequences
5130 Series and Their Convergence Properties
5140 Geometric Series
5150 Harmonic Series
5160 Definition of Convergence
5170 Convergence Tests
5180 Comparison test for Convergence
5190 Ratio Test for Convergence
5200 Root Test for Convergence
5210 Convergence Tests - A Heuristic Salad
5220 Alternating Series
5230 Absolute Convergence
5240 Power Series - Friendly and Useful
5250 Power Series - Part 2
5260 Taylor Series - The Basics
5270 Taylor Series Simulate Their Source Functions
5300 Polar Coordinates - The Basics
5310 Graphs and Conversions
5320 Graphs and Symmetry
5330 Area in Polar Coordinates
5340 Area Between Curves in Polar Coordinates
5400 Parametric Equations
5410 Parametrized Derivatives and Tangent Lines
5420 Parametic Arclength
5430 Tangent Lines in Polar Coordinates</p>
<p>remember BC is not only C but also material from B (Euler's method, slope fields, vectors and work )
And dont forget to know your A material as well (reason why BC kids get an AB subscore when they take the BC)</p>
<p>My question is why does stanford teach power series before taylor series?</p>
<p>get an AP book form ur local library and spend a week or two
i got arco 2004, really well written and pretty funny</p>
<p>you only need a 72% its not too hard to get a 5</p>
<p>Oh ****!!! Nirav you dumb ass!</p>
<p>Everyone, please ignore my last three posts, since they are from someone i use to think was a friend, and sits next to me in AP comp sci, and thinks I am stupid or something for doing this. </p>
<p>Nirav... honestly, you are pathetic. That is all I have for you.</p>
<p>Yeah. Basically Nirav is this indian kid who sits at a computer where I once logged in, and takes advantage of the fact i haven't logged out.</p>
<p>Nirav. For you info, I actually do study everyday. So when I do get a 4 or 5 that I earn, you can kiss your stupid ass away, cuz not only have you sunk to that level, but you are trying to take me down as well. </p>
<p>So why don't you go and just gossip somemore... that seems to be what you do best... @$$HOLE!!!</p>
<p>sagar: Look on the bright side. This is a valuable lesson on why computer security matters, perhaps you'll be more careful next time.</p>
<p>Hmmmm... maybe you should find a way to get his electricity and save some money.</p>
<p>Go to Sam's Club for your meals.</p>
<p>But seriously, you two are fighting over homework and calculus.
Come on now, if it was something like he burned your house down...then you have something to argue about.</p>
<p>Shouldn't let little jokes make you upset.
Anger is bad for the heart.</p>