hwk 4 Solutions

# hwk 4 Solutions - are the closest and the Euler methods...

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Part I. A) dM/dt = m o - m 1 dM/dt = 0.9 dM/dt = m o x po - m1xp1 - kM p dM/dt = 0.06 – Mp(0.1/M(t) + k) B) Total: M o = M(0) = 20kg Peroxide: M po = M p (0) = 0kg C) dM/dt = 0.9 dM/dt = 0.9dt M(t) = 0.9t + M o

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G) h = 1

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h = 0.1 H) The estimations are closer for h = 0.1 than they are for h = 1. The 4 th Order methods
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Unformatted text preview: are the closest, and the Euler methods have the largest difference. Part II. dM/dt = 0.9 M(t) = 0.9t + 20 dMp/dt = 0.05 – 0.1Mp/M(t) – Mp i t i M(t) i M pi f(M(t) i , M pi )*h 0 0 20 0 0.05 1 1 20.9 0.05 -2.392*10-4 2 2 21.8 0.04976 1.1743*10-5 3 3 22.7 0.04977 2.0793*10-5...
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## This note was uploaded on 05/10/2008 for the course CHBE 2120 taught by Professor Gallivan during the Summer '07 term at Georgia Tech.

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hwk 4 Solutions - are the closest and the Euler methods...

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