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1. Consider the differential equation z³y(3)-3ry' +6y=0. (a) Find distinct values of r, say 71, 72,...Tn so that y = " is a solution of the differential equation for each i = 1,...n. (b) Show that the set {} is linearly independent. (c) What is the general solution of the differential equation?

1. Consider the differential equation z³y(3)-3ry' +6y=0. (a) Find distinct values of r, say 71, 72,...Tn so that y = " is a solution of the differential equation for each i = 1,...n. (b) Show that the set {} is linearly independent. (c) What is the general solution of the differential equation?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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113 PS 2 #1

Practice Exercises 4 1. Consider the differential equation z³y(3) - 3ry' + 6y = 0. (a) Find distinct values of r, say 71, 72,... rn so that y = " is a solution of the differential equation for each i = 1,...n. (b) Show that the set {} is linearly independent. (c) What is the general solution of the differential equation?
Transcribed Image Text:Practice Exercises 4 1. Consider the differential equation z³y(3) - 3ry' + 6y = 0. (a) Find distinct values of r, say 71, 72,... rn so that y = " is a solution of the differential equation for each i = 1,...n. (b) Show that the set {} is linearly independent. (c) What is the general solution of the differential equation?
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