Mathematics, 30.07.2019 20:30, antoinewill05

Consider the initial value problem y''=y - y^2, y(0) 0.5 note that only two steps are needed. use euler's method with h 0.1 to obtain a four-decimal approximation of use the improved euler's method with h 0.1 to obtain a four-decimal find the exact solution to the differential equation in 9 (using y(0.2) approximation of y(0.2). methods from chapter 2) and find the percent relative error of numerical solutions in parts a. and b.

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Consider the initial value problem y''=y - y^2, y(0) 0.5 note that only two steps are needed. use eu...