Consider the IVP: x" +3(x')2 + 10tx = 0, x(0) = - 3, 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
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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" +3(x')2 + 10tx = 0, x(0)
= - 3, 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
x"
Transcribed Image Text:Consider the IVP: x" +3(x')2 + 10tx = 0, x(0) = - 3, 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 x"
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