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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?
Transcribed Image Text: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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