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1. Using the technique discussed in class find the Taylor solution to given IVP and compare your solution to the solution using Euler’s method using a step size of 0.01. Your solution should include a plot of your Euler solution from t=0 to t=10 and on a separate plot your Euler solution and your Taylor 1st, 2nd, 3rd, 4th, and 5th order solutions from t=0 to t=0.5.
𝑦" + 𝑦𝑦′ = 2𝑒𝑡/40 𝑦(0) = 4, 𝑦′(0) = −10
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