QUESTION 1 Consider the IVP: x" + (x')? + 4tx=0, x(0) = 1, x'(0) = 2 Using the Euler method with a time step of At = 0.5 approximate x(1,5) to the nearest thousandth (3 decimal places). In the answer box just put the approximation for x(1.5), nothing else. Notation. X = x(t) dx dt dx x"= dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 1
Consider the IVP:
x" + (x') + 4tx=0, x(0) = 1, x'(0) = 2
Using the Euler method with a time step of At = 0.5 approximate x(1.5) to the nearest thousandth (3 decimal places). In the answer box just put the approximation for x(1.5), nothing else.
Notation.
X = x(t)
dx
x' =
dt
d
x" =
Transcribed Image Text:QUESTION 1 Consider the IVP: x" + (x') + 4tx=0, x(0) = 1, x'(0) = 2 Using the Euler method with a time step of At = 0.5 approximate x(1.5) to the nearest thousandth (3 decimal places). In the answer box just put the approximation for x(1.5), nothing else. Notation. X = x(t) dx x' = dt d x" =
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