Find the general solution to the homogeneous differential equation The solution has the form y=Cifi(1) + C₂f₂(1) and f(1) = with f(1) == Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that the functions are normalized with their values at r=0 equal to 0 and 1(respectively), and they are expressed as simply as possible.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution to the homogeneous differential equation
The solution has the form
dt2
-6. +25y = 0
dt
y=Cfi(1) + C₂₂2(1)
and f(t)=
with f(1) =
Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that the functions are
normalized with their values at t= 0 equal to 0 and 1(respectively), and they are expressed as simply as possible.
Transcribed Image Text:Find the general solution to the homogeneous differential equation The solution has the form dt2 -6. +25y = 0 dt y=Cfi(1) + C₂₂2(1) and f(t)= with f(1) = Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that the functions are normalized with their values at t= 0 equal to 0 and 1(respectively), and they are expressed as simply as possible.
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