EXERCISES 1. Find the general solution of x" + tx' + x = 0 given that x = e-t²/2 is one solution. 2. Show that xi(t) = t is a solution of the equation r" - tx' + x = 0. Use reduction of order to find a second solution x2(t).
EXERCISES 1. Find the general solution of x" + tx' + x = 0 given that x = e-t²/2 is one solution. 2. Show that xi(t) = t is a solution of the equation r" - tx' + x = 0. Use reduction of order to find a second solution x2(t).
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.CR: Chapter 11 Review
Problem 29CR
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