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Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. dy = (1 + 4t) Vy dt

Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. dy = (1 + 4t) Vy dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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Please answer no. 2 but use midpoint method

Q1) Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display all your results on the same graph. dy = yt² – 1.ly dt (a) Analytically. (b) Euler's method with h = 0.5 and 0.25. (c) Midpoint method with h = 0.5. Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. dy -= (1 + 4t) Vy dt (b) Euler's method. (c) Heun's method without iteration. (d) Ralston's method. (e) Fourth-order RK method.
Transcribed Image Text:Q1) Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display all your results on the same graph. dy = yt² – 1.ly dt (a) Analytically. (b) Euler's method with h = 0.5 and 0.25. (c) Midpoint method with h = 0.5. Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where y(0) = 1. dy -= (1 + 4t) Vy dt (b) Euler's method. (c) Heun's method without iteration. (d) Ralston's method. (e) Fourth-order RK method.
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