Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use h= 0.1 and then use h= 0.05. y' = xy? - , v(1) = 1; y(1.5) y(1.5) = 1.1043 X (h = 0.1) y(1.5) = 1.1043 X (h = 0.05) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Use a numerical solver and Euler's method to obtain a four-decimal
approximation of the indicated value. First use n = 0.1 and then use h = 0.05.
y' = xy? - L, y(1) = 1; y(1.5)
y(1.5) = 1.1043
X (h = 0.1)
y(1.5) =
1.1043
X (h = 0.05)
Need Help?
Read It
Transcribed Image Text:Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use n = 0.1 and then use h = 0.05. y' = xy? - L, y(1) = 1; y(1.5) y(1.5) = 1.1043 X (h = 0.1) y(1.5) = 1.1043 X (h = 0.05) Need Help? Read It
Expert Solution
Step 1

Given 

the given differential equation is y'=xy2-yx.

y1=1

The indicated value is y1.5.

Apply formula

yn+1=yn+hy'

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,