Consider the following initial value problem x² = e² - 2x x(0) = 1 Find the approximate value of x(1) by using the Backward Euler method with step size 0.5 over the interval [0,2]. O A)0.9121 B)1.1356 c)1.8370 D)0.7215 E)The method is not applicable.
Consider the following initial value problem x² = e² - 2x x(0) = 1 Find the approximate value of x(1) by using the Backward Euler method with step size 0.5 over the interval [0,2]. O A)0.9121 B)1.1356 c)1.8370 D)0.7215 E)The method is not applicable.
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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![Consider the following initial value problem
x² = e² - 2x
x(0) = 1
Find the approximate value of
x(1)
by using the Backward Euler method with step size 0.5 over the interval [0,2].
O A)0.9121
B)1.1356
c)1.8370
D)0.7215
E)The method is not applicable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7f7b58d-6888-4348-bb09-a3d5baf90082%2F1bca1009-89c9-4367-9d63-2d3b28ed4ea1%2Flove02q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following initial value problem
x² = e² - 2x
x(0) = 1
Find the approximate value of
x(1)
by using the Backward Euler method with step size 0.5 over the interval [0,2].
O A)0.9121
B)1.1356
c)1.8370
D)0.7215
E)The method is not applicable.
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