ENGR 213 Lecture 10: practice_2

• School: Concordia University
• Department: Engineering
• Course: ENGR 213
• Professor: Manish Sharma

Document Summary

Find a particular solution of the di erential equation y(cid:48)(cid:48) + 2y(cid:48) + y = x2ex using the method of undetermined coe cients. Find a particular solution of the di erential equation y(cid:48)(cid:48) + y = sin x using variation of parameters. Find the general solution of the cauchy-euler equation. The di erential equation x2y(cid:48)(cid:48) xy(cid:48) 3y = 0 (cid:40) y(cid:48)(cid:48) + y = 0 y(cid:48)(0) = y(cid:48)(l) = 0 y(cid:48)(cid:48) + 2 x y(cid:48) y = 0 has one solution y1 = ex/x. Use reduction of order to nd a second linearly independent solution. Find the radius of convergence of the power series.