Use reduction of order to find a second solution to the differential equation ty" - 4ty +6y = 0 t >0 . One solution is y1 = t?.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help solve attached differential equations question below.

How to  use reduction of order to find a second solution to the differential equation? Given y_1=t^2, what is y_2= ?

 

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If y, and y2 are linearly independent solutions of t2y"+ 4y' + (5+t)y = 0 and
if the Wronskian W (y1, 42)(1) = 3, find W(y1, Y2)(3).
Transcribed Image Text:If y, and y2 are linearly independent solutions of t2y"+ 4y' + (5+t)y = 0 and if the Wronskian W (y1, 42)(1) = 3, find W(y1, Y2)(3).
Use reduction of order to find a second solution to the differential equation
ty" - 4ty +6y = 0
t >0
. One solution is y1 = t2.
Transcribed Image Text:Use reduction of order to find a second solution to the differential equation ty" - 4ty +6y = 0 t >0 . One solution is y1 = t2.
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