Given the differential equation: 1 dy + 2y = 1 xdx with initial conditions x = 0 when y = 1, produce a numerical solutio

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Given The Differential Equation 1 Dy 2y 1 Xdx With Initial Conditions X 0 When Y 1 Produce A Numerical Solutio 1 (20.13 KiB) Viewed 9 times

Given the differential equation: 1 dy + 2y = 1 xdx with initial conditions x = 0 when y = 1, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 0(0.2)1.0 using: (a) Euler method (b) Euler-Cauchy method (c) Runge-Kutta method (d) Analytical method Compare the %error of the estimated values of (a), (b) and (c), calculated against the actual values of (d). Show complete solutions and express answers in table form.