A hand-held calculator will suffice for Problems through, where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the intetval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.
y1 = y + 1, y(0) = 1; y(x) = 2e− x − 1
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