Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1) given by Euler's method with a time step of At 0.1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Consider the initial value problem y'(t) = ť - 3y, y(3) = 1. What is the approximation to y(3.1) given by Euler's method with a time step of At= 0.1?
y(3.1)
(Simplify your answer. Type an integer or a decimal.)
3°C
Cloudy
Transcribed Image Text:Consider the initial value problem y'(t) = ť - 3y, y(3) = 1. What is the approximation to y(3.1) given by Euler's method with a time step of At= 0.1? y(3.1) (Simplify your answer. Type an integer or a decimal.) 3°C Cloudy
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