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Consider the initial-value problem . The analytic solution is . (a) Approximate y(0.1) using one step and the fourth-order RK4 method. (b) Find a bound for the local truncation error in . (c) Compare the actual error in y 1 with your error bound. (d) Approximate y(0.1) using two steps and the RK4 method. (e) Verify that the global truncation error for the RK4 method is by comparing the errors in parts (a) and (d).
a) There are several reasons why the French Revolution happened. First, the government was unstable (their ruler was incompetent). Second, financial problems were dominant. Lastly, the citizens desired a democratic gathering. The Americans' support for revolutionary forces shifted because they condemned the French Revolution's brutality, its assault on religion, and disrespect for individual rights when it became violent.
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