In each of problems 1 through 4: (a) Find approximate values of the solution of the...

In each of problems 1 through 4: (a) Find approximate values of the solution of the given initialvalue problem at t=0.1, 0.2, 0.3, and 0.4 using the Euler methodwith h=0.1 (b) Repeat part (a) with h=0.05. Compare the results with thosefound in (a) (c) Repeat part (a) with h=0.025. Compare the results with thosefound in (a) and (b). (d) Find the solution y=φ(t) of the given problem and evaluateφ(t) at t=0.1, 0.2, 0.3, and 0.4. Compare these values with the results of (a), (b), and (c). 3. dy/dt = 0.5 -t +2y, y(0) = 1 Please also provide solution using Matlab.

Expert Solution

Colby Messinger answered 1 year ago

Let y′=y(4−ty) and y(0)=0.85. Use Euler's method to find approximate values of the solution of the...

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