Consider the differential equation ty" – t(t + 2)y +(t +2)y = 0, t> 0. (4) The function yı(t) = t is a solution of (4). Choose the function y2 such that y and y2 form a fundamental set of solutions to (4).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the differential equation
ty" – t(t +2)y/ + (t +2)y = 0,
t> 0.
(4)
The function yı(t) = t is a solution of (4). Choose the function y2 such that yi and y2 form a
fundamental set of solutions to (4).
%3D
A. y2(t) = t2
B. y2(t) = e
C. y2(t) = te
D. 2(t) = te
E. y2(t) = Int
Select one:
O a. A
Ob. D
O d. C
O e. E
Transcribed Image Text:Consider the differential equation ty" – t(t +2)y/ + (t +2)y = 0, t> 0. (4) The function yı(t) = t is a solution of (4). Choose the function y2 such that yi and y2 form a fundamental set of solutions to (4). %3D A. y2(t) = t2 B. y2(t) = e C. y2(t) = te D. 2(t) = te E. y2(t) = Int Select one: O a. A Ob. D O d. C O e. E
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