Consider the IVP: x" + (x')2 + 4tx = 0, x(0) = 1, x'(0) = 2 %3D 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.

Consider the IVP: x" + (x')2 + 4tx = 0, x(0) = 1, x'(0) = 2 %3D 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.

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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2) Please provide a correct and well explained solution for the following;

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
d²x
X"=
dt?

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