Consider the IVP: x" + (x')² + 6tx = 0, x(0) = 3, x'(0) = 4 Using the Euler method with a time step of At = 0.4 approximate x(0.8) to the nearest thousandth (3 decimal places).
Consider the IVP: x" + (x')² + 6tx = 0, x(0) = 3, x'(0) = 4 Using the Euler method with a time step of At = 0.4 approximate x(0.8) to the nearest thousandth (3 decimal places).
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 IVP:
x" + (x')² + 6tx = 0, x(0) = 3, x'(0) = 4
%3D
Using the Euler method with a time step of
At = 0.4
approximate x(0.8) to the nearest thousandth (3 decimal places).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72720bbb-8325-456f-8e32-97a0ec1c35c5%2Fca1cab93-ff47-4ca0-8d85-788837cd1909%2Fypwqxy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the IVP:
x" + (x')² + 6tx = 0, x(0) = 3, x'(0) = 4
%3D
Using the Euler method with a time step of
At = 0.4
approximate x(0.8) to the nearest thousandth (3 decimal places).
![Notation.
x = x(t)
dx
X' =
dt
d?x
X"=
X.
dt?
.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72720bbb-8325-456f-8e32-97a0ec1c35c5%2Fca1cab93-ff47-4ca0-8d85-788837cd1909%2Fpfasprk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Notation.
x = x(t)
dx
X' =
dt
d?x
X"=
X.
dt?
.2
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