PROBLEM 7: Solve the following differential equation from t = 0 to 1 dy dt with the initial condition y(0) = 1. Use the following techniques to obtain your solutions: (a) analytically, (b) the explicit Euler method, and (c) the implicit Euler method. For (b) and (c) use h = 0.1 and 0.2. Plot your results. = -10y

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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PROBLEM 7: Solve the following differential equation from t = 0 to 1
dy
dt
= -10y
with the initial condition y(0) = 1. Use the following techniques to obtain your solutions: (a) analytically,
(b) the explicit Euler method, and (c) the implicit Euler method. For (b) and (c) use h = 0.1 and 0.2. Plot your
results.
Transcribed Image Text:PROBLEM 7: Solve the following differential equation from t = 0 to 1 dy dt = -10y with the initial condition y(0) = 1. Use the following techniques to obtain your solutions: (a) analytically, (b) the explicit Euler method, and (c) the implicit Euler method. For (b) and (c) use h = 0.1 and 0.2. Plot your results.
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