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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 7P -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(L04H0.3) = 0.005H +0.02L +C %3D

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 7P -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(L04H0.3) = 0.005H +0.02L +C %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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