Qu 2 a). Find an approximation for y when x =1, using Euler's five-step forward method. dy = xy +1; and y = 1, when x = 0. dx b). Use Euler's modified method to evaluate the approximation in 2a). comment on your results c). Find the solution(s) to the differential equation using the D operator. d?y 12 + 36y = 0 dx | dx2
Qu 2 a). Find an approximation for y when x =1, using Euler's five-step forward method. dy = xy +1; and y = 1, when x = 0. dx b). Use Euler's modified method to evaluate the approximation in 2a). comment on your results c). Find the solution(s) to the differential equation using the D operator. d?y 12 + 36y = 0 dx | dx2
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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Question
![Qu 2
a). Find an approximation for y when x =1, using Euler's five-step
forward method.
dy
= xy +1; and y = 1, when x = 0.
dx
b). Use Euler's modified method to evaluate the approximation in 2a).
comment on your results
c). Find the solution(s) to the differential equation using the D operator.
d²y
12 + 36y = 0
dx
|
dx²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1314e37d-f0ba-43fa-8702-b1f8a1d0ec85%2Fc64dd2a1-73ab-4447-ba6d-fbf1c483c4d3%2Fo80vmij_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Qu 2
a). Find an approximation for y when x =1, using Euler's five-step
forward method.
dy
= xy +1; and y = 1, when x = 0.
dx
b). Use Euler's modified method to evaluate the approximation in 2a).
comment on your results
c). Find the solution(s) to the differential equation using the D operator.
d²y
12 + 36y = 0
dx
|
dx²
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