.1 and then use h = 0.05. y' = 3x − 4y + 3, y(1) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Use the improved 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' = 3x − 4y + 3, y(1) = 3; y(1.5)
| h = 0.1 | y(1.5) | ≈ | |
| h = 0.05 | y(1.5) | ≈ |
Expert Solution
Step 1
Here, in the question given the set of equations as: . We have to calculate the four-decimal approximation of the indicated value. Now first we shall know about the improved Euler's method. In Euler's method, we approximate the function by a rectangular shape ( shown below):
To improve the approximation we use the improved approximation method.
Steps in Improved Euler's method:
Step 1:
Step 2:
Step 3:
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