dy 6. Use Euler's Method on the differential equation =t² + y - 1 with the initial condition dt y (0)= 1 over 0 ≤ t≤1 with step sized of At = 0.1. Graph your approximation of the solution to this equation, y(t), and determine whether your value for y(1) is an under or over-estimate No 13 steps but then rely on a calculator to speed up your computations for th Y x
dy 6. Use Euler's Method on the differential equation =t² + y - 1 with the initial condition dt y (0)= 1 over 0 ≤ t≤1 with step sized of At = 0.1. Graph your approximation of the solution to this equation, y(t), and determine whether your value for y(1) is an under or over-estimate No 13 steps but then rely on a calculator to speed up your computations for th Y x
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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Transcribed Image Text:6. Use Euler's Method on the differential equation = t² + y - 1 with the initial condition
dt
y (0) = 1 over 0 ≤t≤1 with step sized of At = 0.1. Graph your approximation of the
solution to this equation, y(t), and determine whether your value for y(1) is an under or
over-estimate. Note: shey
least 3 steps but then rely on a calerator
O speed up your computations for th
Y
X
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