In Exercises 1-4, use EulersMethod to perform Euler's method with the given step size At on the given initial-value problem over the time interval specified. Your answer should include a table of the approximate values of the dependent variable. It should also include a sketch of the graph of the approximate solution. dy 1. = 2y + 1, y(0)=3, 0≤t≤2, At=0.5 dt dy (0)=1 05+51 At-025
In Exercises 1-4, use EulersMethod to perform Euler's method with the given step size At on the given initial-value problem over the time interval specified. Your answer should include a table of the approximate values of the dependent variable. It should also include a sketch of the graph of the approximate solution. dy 1. = 2y + 1, y(0)=3, 0≤t≤2, At=0.5 dt dy (0)=1 05+51 At-025
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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![In Exercises 1-4, use EulersMethod to perform Euler's method with the given step
size At on the given initial-value problem over the time interval specified. Your answer
should include a table of the approximate values of the dependent variable. It should
also include a sketch of the graph of the approximate solution.
y(0) = 3,
0≤t≤2, At = 0.5
y(0) = 1,
y(0) = 0.5,
dy
dt
dy
dt
dy
3. = y² - 4t,
dt
2.
4.
dy
dt
= 2y+1,
=t-y²,
= sin y,
y(0) = 1,
0≤t≤ 1,
At = 0.25
0≤t≤ 2, At = 0.25
0≤t≤ 3,
Δt = 0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F464fe16a-00d5-4182-8379-61bd4b8bbe02%2F37d34f28-46d3-465b-8bd6-b2d088dce945%2Fhrvdbcf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Exercises 1-4, use EulersMethod to perform Euler's method with the given step
size At on the given initial-value problem over the time interval specified. Your answer
should include a table of the approximate values of the dependent variable. It should
also include a sketch of the graph of the approximate solution.
y(0) = 3,
0≤t≤2, At = 0.5
y(0) = 1,
y(0) = 0.5,
dy
dt
dy
dt
dy
3. = y² - 4t,
dt
2.
4.
dy
dt
= 2y+1,
=t-y²,
= sin y,
y(0) = 1,
0≤t≤ 1,
At = 0.25
0≤t≤ 2, At = 0.25
0≤t≤ 3,
Δt = 0.5
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