Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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9. It turns out that finding explicit solutions for H(t) and L(t) for a system of equations like
this is impossible. But we are going to see what we can do. Note that
dH
HP
dT
0.4H - 0.02HL
dL
-0.3L + 0.005HL
dt
Use algebra and techniques that you know to solve this differential equation. Show that you
get the following implicit equation:
In(LO4H0.3) = 0.005H +0.02L + C
%3D
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Transcribed Image Text:9. It turns out that finding explicit solutions for H(t) and L(t) for a system of equations like this is impossible. But we are going to see what we can do. Note that dH HP dT 0.4H - 0.02HL dL -0.3L + 0.005HL dt Use algebra and techniques that you know to solve this differential equation. Show that you get the following implicit equation: In(LO4H0.3) = 0.005H +0.02L + C %3D
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