(²²-1¼1) y = general solution to the nonhomogeneous equation below. Py+ty + (P-1)y=19/2, 1>0 The Bessel equation of order one-half, ty" +ty' + y(t) = y = 0, t > 0, has two linearly independent solutions, y₁=t ... -1/2 -1/2 cos (t) and y₂ = t sin (t). Find a ... ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Bessel equation of order one-half, Py" + ty' + [2² -1)y=
general solution to the nonhomogeneous equation below.
Py" + ty' +
/² + (P² - 21 ] y = 19/², t>
,t>0
y(t) =
-1/2
y=0₁
y = 0, t>0, has two linearly independent solutions, y₁ = t
...
-1/2
cos (t) and y₂ = t
sin (t). Find a
Transcribed Image Text:The Bessel equation of order one-half, Py" + ty' + [2² -1)y= general solution to the nonhomogeneous equation below. Py" + ty' + /² + (P² - 21 ] y = 19/², t> ,t>0 y(t) = -1/2 y=0₁ y = 0, t>0, has two linearly independent solutions, y₁ = t ... -1/2 cos (t) and y₂ = t sin (t). Find a
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