Consider the initial value problem given below. dx dt = 3+tsin (tx), x(0) = 0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t = 1. For a tolerance of e=0.07, use a stopping procedure based on absolute error. The approximate solution is x(1) ~. (Round to three decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the initial value problem given below.
dx
dt
-=3+tsin (tx), x(0) = 0
Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t = 1. For a tolerance of ε = 0.07, use a
stopping procedure based on absolute error.
The approximate solution is x(1)
(Round to three decimal places as needed.)
Transcribed Image Text:Consider the initial value problem given below. dx dt -=3+tsin (tx), x(0) = 0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t = 1. For a tolerance of ε = 0.07, use a stopping procedure based on absolute error. The approximate solution is x(1) (Round to three decimal places as needed.)
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