Euler's Method Approximation Error
Consider the differential equation dy/dx = xy with the initial condition y(0) = 2. An approximation of y(1) is found using Euler’s method with a step size of h = 0.5. Which of the following best describes the relationship between this approximation and the actual value of y(1)?
A
Cannot be determined without computing both values
B
The approximation equals the actual value
C
The approximation underestimates the actual value
D
The approximation overestimates the actual value
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