3. Solve the following ODE over the interval 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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do parts a,b, and c for number 3

3. Solve the following ODE over the interval 0 <I<1 using the methods listed below
with a step size of h= 0.05. The initial condition is y(0) = 1.
dy
re – 2y
dr
%3D
You will only input the approximated value of y(1) in the quiz for this problem.
(4) In your verification, you must show the results of your approximations on a single
plot and discuss their similarities and differences.
(a) . Euler's Method
(b) .
2nd Order Taylor's Method
(c)
Runge-Kutta Midpoint Method
4. () Submit a PDF copy of your Mathcad sheet to the end of the Canvas assignment
for this homework. This will be used for partial credit and formatting.
Transcribed Image Text:3. Solve the following ODE over the interval 0 <I<1 using the methods listed below with a step size of h= 0.05. The initial condition is y(0) = 1. dy re – 2y dr %3D You will only input the approximated value of y(1) in the quiz for this problem. (4) In your verification, you must show the results of your approximations on a single plot and discuss their similarities and differences. (a) . Euler's Method (b) . 2nd Order Taylor's Method (c) Runge-Kutta Midpoint Method 4. () Submit a PDF copy of your Mathcad sheet to the end of the Canvas assignment for this homework. This will be used for partial credit and formatting.
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