Question: Let y(t) be the solution to y = 10te # satisfying y(0) = 0. (a) Use Euler's Method with time step h = 0.2 to

Let y(t) be the solution to y = 10te # satisfying y(0) = 0. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), . .., y(1.0). k th Uk 0 0 0 10.2 0 20.4 0.4 30.6 |0.94 40.8 1.41 5 1.0 1.80 (b) Use separation of variables to find y(t) exactly. y(t) = (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). ly(0.2) - y11 = ly(0.6) - 93/ = ly(1) - y5/ =

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