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Use Euler's method to approximate the given value of y(t) with the time step h indicated. Make sure to include each point that you find in your process. y (3.3) dy-t²-y = dt y(3) = 1 h = 0.1

Use Euler's method to approximate the given value of y(t) with the time step h indicated. Make sure to include each point that you find in your process. y (3.3) dy-t²-y = dt y(3) = 1 h = 0.1

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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**Euler's Method for Approximating \( y(t) \)** To approximate the value of \( y(t) \) at \( t = 3.3 \) using Euler's method, follow the steps below with the time step \( h \) provided. Ensure to list each point found during the process. **Given:** - Differential equation: \(\frac{dy}{dt} = t^2 - y\) - Initial condition: \( y(3) = 1 \) - Time step: \( h = 0.1 \) **Objective:** - Approximate \( y(3.3) \) using Euler's method.
Transcribed Image Text:**Euler's Method for Approximating \( y(t) \)** To approximate the value of \( y(t) \) at \( t = 3.3 \) using Euler's method, follow the steps below with the time step \( h \) provided. Ensure to list each point found during the process. **Given:** - Differential equation: \(\frac{dy}{dt} = t^2 - y\) - Initial condition: \( y(3) = 1 \) - Time step: \( h = 0.1 \) **Objective:** - Approximate \( y(3.3) \) using Euler's method.
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