3. Consider the initial value problem = 5y-y², y(0) = 2. dt (a) Use one step of the Runge-Trapezoidal method to approximate y(0.1). Show all intermediate steps. Yuun = y₂ + + [$(th, yn) + f(²n+2₁ yn +a)] (b) Use one step of the Runge-Midpoint method to approximate y(0.1). Show all intermediate steps.
3. Consider the initial value problem = 5y-y², y(0) = 2. dt (a) Use one step of the Runge-Trapezoidal method to approximate y(0.1). Show all intermediate steps. Yuun = y₂ + + [$(th, yn) + f(²n+2₁ yn +a)] (b) Use one step of the Runge-Midpoint method to approximate y(0.1). Show all intermediate steps.
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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How would I solve these practice problem?
![3. Consider the initial value problem
dy
-=5y-y²,
y(0)=2.
dt
(a) Use one step of the Runge-Trapezoidal method to approximate y(0.1). Show all
intermediate steps.
Yu+= y₂ + [$(th, yn) + f({n+2, yn+a)]
(b) Use one step of the Runge-Midpoint method to approximate y(0.1). Show all intermediate
steps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0d3e718-edd3-44ac-adb9-a3206bb6736d%2Fbc53aa57-769c-4ecf-b9de-026066883b8c%2Fs21y7y8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the initial value problem
dy
-=5y-y²,
y(0)=2.
dt
(a) Use one step of the Runge-Trapezoidal method to approximate y(0.1). Show all
intermediate steps.
Yu+= y₂ + [$(th, yn) + f({n+2, yn+a)]
(b) Use one step of the Runge-Midpoint method to approximate y(0.1). Show all intermediate
steps.
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