Question: A. Directions: Solve the initial-value problem. Write your complete solutions on the space provided. Round- off answers up to two (2) decimal places FOR EVERY

Directions: Solve the initial-value problem. Write your complete solutions on the space provided. Round- off answers up to two (2) decimal places FOR EVERY ITERATION. Scientific calculators may be used, but cellphones are not allowed. Consider the IVP: Df = 6x - of + 1; f(0) = 0.1 Approximate f(1) with n = 5 using: Euler's Method 2. Backward Euler's Method 3. Runge-Kutta SchemeAnswer the following items on a clean sheet of paper. Upload photos of your answer sheets showing your solutions. 1. Consider the ODE Df = 2x - f with f (0) = -1 With step size 1, approximate f (2 ) using Euler's method. 2. Solve the initial value problem, D2 f - Df = 0 with f(0) = Df(0) = 1 3. Consider the ODE, Df = f+ 2x with f (0) = 1 Suppose X1 = 1 and y1 = 2 Approximate f ( 2 ) using Adams-Moulton method with k = 2. Express the answer as improper fraction

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