Lety(t) be the solution to y = 4te satisfying y(0) = 2.(a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0).ktk0010.220.430.640.851.0Ук2(b) Use separation of variables to find y(t) exactly.y(t) =(c) Compute the error in the approximations to y(0.2), y(0.6), and y(1).|y(0.2) - y₁ | ==|y(0.6) − y3|=|y(1) − y5| =

The step by step solution by using Euler method is given as follows.

Let y(t) be the solution to y = 4te satisfying y(0) = 2. 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). (a) Use Euler's Method with time step h = ktk 00 10.2 20.4 30.6 40.8 51.0 Yk 2 (b) Use separation of variables to find y(t) exactly. y(t) = (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) - y₁|= |y(0.6) - y3|= |y(1) ― y5| =

Let y(t) be the solution to y = 4te satisfying y(0) = 2. 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). (a) Use Euler's Method with time step h = ktk 00 10.2 20.4 30.6 40.8 51.0 Yk 2 (b) Use separation of variables to find y(t) exactly. y(t) = (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) - y₁|= |y(0.6) - y3|= |y(1) ― y5| =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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