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Differential Equations Matlab. Will rate as soon as possible. Thank you very much! 3. Consider the initial value problem ty, + y = 2t, y(1)

Differential Equations Matlab. Will rate as soon as possible. Thank you very much!

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3. Consider the initial value problem ty, + y = 2t, y(1) = c. (a) Solve it using MATLAB. (b) Evaluate the solution with c = 0.8 at t 0.01, 0.1, 1, 10, Do the same for the solutions with c = 1 and c = 1.2 (c) Plot the solutions with c=0.8, 0.9, 1.0, 1.1, 1.2 together on the interval (0,25). (d) How do changes in the initial data affect the solution as t oo? as t 0 3. Consider the initial value problem ty, + y = 2t, y(1) = c. (a) Solve it using MATLAB. (b) Evaluate the solution with c = 0.8 at t 0.01, 0.1, 1, 10, Do the same for the solutions with c = 1 and c = 1.2 (c) Plot the solutions with c=0.8, 0.9, 1.0, 1.1, 1.2 together on the interval (0,25). (d) How do changes in the initial data affect the solution as t oo? as t 0

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