# Answer to Question #90451 in Electrical Engineering for Muhammad Afzaalkhhan

Question #90451

The boundary-value problem

y = 4(y − x), 0 ≤ x ≤ 1, y(0) = 0, y(1) = 2

has the solution y(x) = e^2(e4 − 1)−1(e^2x − e−^2x) + x. Use the Linear Finite-Difference method to

approximate the solution, and compare the results to the actual solution.

a. With h = 1/2

b. With h = 1/4.

y = 4(y − x), 0 ≤ x ≤ 1, y(0) = 0, y(1) = 2

has the solution y(x) = e^2(e4 − 1)−1(e^2x − e−^2x) + x. Use the Linear Finite-Difference method to

approximate the solution, and compare the results to the actual solution.

a. With h = 1/2

b. With h = 1/4.

Expert's answer

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