Question: Let f (t) be the solution to y = 2e 2t-y , y(0) = 0. Use Eulers method with n = 4 on 0

Let f (t) be the solution to y′ = 2e^2t-y, y(0) = 0. Use Euler’s method with n = 4 on 0 ≤ t ≤ 2 to estimate f (2). Then show that Euler’s method gives the exact value of f (2) by solving the differential equation.

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