S18 AMS20 HW4.pdf - AMS 20 Mathematical Methods for...

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AMS 20: Mathematical Methods for Engineers II: Spring 2018 Homework #4 Name, Student ID, Section number: ............................................................................................ Due: May 07, 2018 NOTE: Please show all the steps in your solution, and box your answers for each problem. Turn in a hard copy of your HW stapled with this as cover sheet with your name, student ID and lab section number written in the above field. Submit your HW in class on the due date right before the class starts. Problem 1 Method of Undetermined Coefficients: General Solution ( 2 × 5 = 10 points) (a) [Problem 3.5.7 in textbook] Find the general solution of the ODE: y 00 + 9 y = t 2 e 3 t + 6. (b) [Problem 3.5.9 in textbook] Find the general solution of the ODE: 2 y 00 +3 y 0 + y = t 2 +3 sin( t ). Problem 2 Method of Undetermined Coefficients: IVP ( 10 points) [Problem 3.5.20 in textbook] Solve the IVP: y 00 + 2 y 0 + 5 y = 4
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