Problem

Apply the method of this section to obtain the approximations y 1, y2, y3 for the problem...

Apply the method of this section to obtain the approximations y 1, y2, y3 for the problem of Obtain y1(x), y2(x), and y3(x) for the initial value problem

(use Euler’s method with the prescribed Ajc to approximate the solution of the initial value problem in the given interval. Solve the problem by elementary methods and compare the approximate values of y with the correct values.

y′ = x+y; when x = 1, y = 1;Δx = 0.1 and 1≤ x ≤2.)

y′=x + y; whenx = 1, y = 1.

Hint: Express the integrand of the integral in equation (2) in powers of t − 1 before integrating

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Solutions For Problems in Chapter 3.5