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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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2. Given d²T 0.157 = 0 dx² Use the Finite-Difference approach (CDD) to find the solution of the above equation for a 10-m rod with T(0) 240 °C and T(10) = 150 °C. Use 4x = 2.5 m. = (30 pts) 3. Given 7d²ydy dx² --y+x=0 dx Follow the shooting approach to find the solution of the above equation from y(0) = == 5 to y(10) = 8.5. Use Euler method with step size of h = 2.5. Wherever necessary, use the initial guesses of -1 and -0.5 for the missing initial condition. (30 pts)

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