Question 3 Consider a system with differential equation given by d³y d'y + dt³ dt² dy dt -y=e^t. a) Determine the transient and steady state solutions for y, and hence find the particular solution if y = 0,= 1 and = at t = 0. b) Next, use R to obtain a numerical solution of the above differential equation and plot graphs showing the theoretical and numerical solutions for t in the interval (0,5).

Question 3 Consider a system with differential equation given by d³y d'y + dt³ dt² dy dt -y=e^t. a) Determine the transient and steady state solutions for y, and hence find the particular solution if y = 0,= 1 and = at t = 0. b) Next, use R to obtain a numerical solution of the above differential equation and plot graphs showing the theoretical and numerical solutions for t in the interval (0,5).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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