Question: (a) Use Eulers method with step size 0.2 to estimate ys0.4d, where ysxd is the solution of the initial-value problem y9 2xy2 ys0d

(a) Use Euler’s method with step size 0.2 to estimate ys0.4d, where ysxd is the solution of the initial-value problem y9 − 2xy2 ys0d − 1

(b) Repeat part

(a) with step size 0.1.

(c) Find the exact solution of the differential equation and compare the value at 0.4 with the approximations in parts

(a) and (b).

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