7. Given the initial value problem: (² y y' = 1 + = + (b) (c) with initial condition y(1) = 0. Given the exact solution

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7 Given The Initial Value Problem Y Y 1 B C With Initial Condition Y 1 0 Given The Exact Solution 1 (121.59 KiB) Viewed 9 times

7. Given the initial value problem: (² y y' = 1 + = + (b) (c) with initial condition y(1) = 0. Given the exact solution as y(x) = x tan(lnx). Solve the equation for interval 1 ≤x≤ 2 with step size h = 0.2 by using the given methods and find their errors. Euler's method, second order Taylor series method and fourth order Runge-Kutta method.