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

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[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution

Consider the IVP:
x" + 4tx = 0, x(0)
3 — 2, х'(0)
= -3
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" =
Transcribed Image Text:Consider the IVP: x" + 4tx = 0, x(0) 3 — 2, х'(0) = -3 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" =
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