Use Euler's method with n = 5 to estimate y(1.5), where y(t) is the solution of the initial-value problemy' = e² + 3y, y(0) = −3.y(1.5) =(Your answer should use 4 decimal places.)

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Answered: Use Euler's method with n = 5 to…

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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Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. Use a step size h = 0.2 y'=y-y², y(0)=1.5; y(1) a. y(1)≈ 1.1124 b. y(1) 1.1144 C. y(1)≈ 1.1132 d. y(1) 1.1104 e. y(1) ≈ 1.1102
Use Euler's method with n = 5 to estimate y(0.5), where y(t) is the solution of the initial-value problem 2t+y², y(0) = 0. y = 3(0.5) = . (Your answer should use 4 decimal places.) =
The initial condition was at time 0 there was 4 inches of snow (h(0)=4), and with our snowfall rate of 3/5 and snow removal rate of 9/20h the LOWEST the height of snow on the ground could go is 4/3 inches. But i'm wondering, given our initial condition of h(0)=4, Is there any combination of snowfall rate and snow removal rate that could allow the height of snow on the ground to approach zero? For instance, if we made our equation dH/dt=(1/5)-(4/5)*h we could get the lowest snow height to under half an inch...but are there any conditions in which we could get it to approach zero? If not, what's the lowest we could get it and the process for finding such a value? Please explain. Thank you
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Use Euler's method with n = 5 to estimate y(1.5), where y(t) is the solution of the initial-value problem y¹ = et + 3y, y(0) = −3. y(1.5) = (Your answer should use 4 decimal places.)