IS, ne solution to the x(U) equation is x(t) = et, but let's apply Euler's method. Take h = 0.1 and find x1, x2, and x3 (that is, the approximations for x(0.1), x(0.2), and x(0.3)).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Section0.B: Diagnostic Test: Algebraic Expressions
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Please show all work for Exercise 3!

(7)
Xk+1 = Xk +hf(tk,xa).
Transcribed Image Text:(7) Xk+1 = Xk +hf(tk,xa).
Exercise 3: Consider differential equation x = x with initial condition
x(0) = 1. That is, in (7), f(t, x) = x. We know the solution to this
equation is x(t) = et, but let's apply Euler's method. Take h = 0.1 and
find x₁, x2, and x3 (that is, the approximations for x(0.1), x(0.2), and
x(0.3)).
Transcribed Image Text:Exercise 3: Consider differential equation x = x with initial condition x(0) = 1. That is, in (7), f(t, x) = x. We know the solution to this equation is x(t) = et, but let's apply Euler's method. Take h = 0.1 and find x₁, x2, and x3 (that is, the approximations for x(0.1), x(0.2), and x(0.3)).
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