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Consider the following initial value problems and solve by hand.              y' = 2x-3y+1              y(1)...

Consider the following initial value problems and solve by hand.

             y' = 2x-3y+1

             y(1) = 5

Let the step size 0.1.

Then find the approximate value of y(1.2) by using Euler Method and Improved Euler Method.

(Please show your work for both the Euler Method and the Improved Euler Method.)

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