## Question

###### 11: Problem 2Previous ProblemProblem ListNext Problempoint)Let y(t) be the solution to dt 8te satisfying y(0)(a) Use Euler's Method with time step h 0.2 to approximate y(0.2) , y(0.4), . ..,y(1.0) .2 0.43 0.64,0.85/1.0(b) Use separation of variables to find y(t) exactly: y(t)Compute the error in the approximations to y(0.2) , y(0.6) , and y(1). ly(o.2) y1 |ly(0.6) Y3 |ly(1) Ys |Note: You can earn partial credit on this problem:

11: Problem 2 Previous Problem Problem List Next Problem point) Let y(t) be the solution to dt 8te satisfying y(0) (a) Use Euler's Method with time step h 0.2 to approximate y(0.2) , y(0.4), . ..,y(1.0) . 2 0.4 3 0.6 4,0.8 5/1.0 (b) Use separation of variables to find y(t) exactly: y(t) Compute the error in the approximations to y(0.2) , y(0.6) , and y(1). ly(o.2) y1 | ly(0.6) Y3 | ly(1) Ys | Note: You can earn partial credit on this problem:

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