Question: (1 point) Let y(t) be the solution to y = 10te satisfying y(0) = 1. (a) Use Euler's Method with time step h =

(1 point) Let y(t) be the solution to y = 10te satisfying

(1 point) Let y(t) be the solution to y = 10te satisfying y(0) = 1. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 1 10.2 1 20.4 1.14715 30.6 1.40118 40.8 1.69674 5 1.0 1.98977 (b) Use separation of variables to find y(t) exactly. y(t) = In(5t^2+e) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) y = 0.070995028 |y(0.6) y3| = 0.106948102 |y(1) y5| =

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