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Please solve all parts Consider the following IVP y? = 2t ? y + 1, y(0) =...

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Advance Math

Please solve all parts

Consider the following IVP

y? = 2t ? y + 1, y(0) = 1.

Find an approximation of y(1) using

(a) the Euler’s method with N = 4,

(b) the Euler’s method with N = 8,

(c) the improved Euler’s method with N = 4,

(d) the improved Euler’s method with N = 8.

Solve the IVP, find y(1), and compare the accuracy |y(1)?yN | ofthe approximations.

Answer & Explanation Solved by verified expert
3.7 Ratings (475 Votes)
Approximating y1 using two methods with 4 different n valueswill take much time by hand So I am providing MATLAB CODE for thesame with all outputpart a MATLAB CODE Euler Methodclear allclcformat shortfty2ty1 dydtftyyt2n4a0b1hbat ahby zeros1lengthty11 index has been taken as i instead of 0for n1lengtht1yn1 ynhftnynendtyt y Solution of ODE at t0 to    See Answer
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