My Math Forum "separate and integrate" or "Orangutang method"

 Calculus Calculus Math Forum

August 5th, 2011, 08:15 PM   #1
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From: Northwest Arkansas

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"separate and integrate" or "Orangutang method"

My friend asked me to solve these (something about planetary motion or something...), but I'm too tired.
Anyone care to take a crack at it?
Cheers.

(p.s. The "Orangutang Method" is something I heard on MSE to refer to licentious use of "integration by separation")
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 August 5th, 2011, 09:03 PM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,767 Thanks: 5 Re: "separate and integrate" or "Orangutang method" Just got word that the second one (dr/dt) has an error... the right hand side is inverted. So we should have $\frac{dr}{dt}= \sqrt{F - \frac{k^2}{r^2} + \frac{2c}{r}}$ This one doesn't seem that bad. (Well, it looks like some in my tables...)

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