Boolchiap: Have a sample & lake smaller sampler, from that big sample Stat 226: R Investigation Math 112 Fall 2022 Try the same method with a step size of At = 1. (You have to repeat the steps more times...) Old Point Slope at Old Pt Change in y New Point Old t Old y y'(old_t, old y) Ay = y' At New t New y Add the two Euler approximations to the graph on the first page, along with an eyeball sketch of the actual solution. What do you notice? Okay, let's do this in Maple! For next time, insert a table with Euler approximations for various values of delta t, look at the error as delta t decreases.MYPA Math 112 Fall 2022 Euler's Method Discussion Recall the differential equation from your preview activity: y' (t ) = =( +1 ), y (0 ) = 0 V(t) 1 1 1 1 : WHY Y YYY YYYYYY The approximation you created in the preview activity was an Euler's Method Approximation of y(6), for the initial value problem above and step size of At = 2. Your calculations can be summarized in the following table. Old Point Slope at Old Pt Change in y New Point Old t Old y y'(old_t, old_y) Ay = y' . At New t New y