The function y t²y" +4ty' + 2y= 0. If you want, you can verify it! = is a solution to the 2nd order homogeneous linear ODE Using the information above, solve the inhomogeneous ODE #y" + 4ty' + 2y = and find the function which satisfies the additional conditions y(e²) = 5 and y(e³) = e2 For this function, what is the value of y(1)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The function y = is a solution to the 2nd order homogeneous linear ODE
t?y" + 4ty' + 2y = 0. If you want, you can verify it!
Using the information above, solve the inhomogeneous ODE
t²y" + 4ty' + 2y =
1
and find the function which satisfies the additional conditions y(e²) = 5 and y(e³) =
e2
For this function, what is the value of y(1)?
Transcribed Image Text:The function y = is a solution to the 2nd order homogeneous linear ODE t?y" + 4ty' + 2y = 0. If you want, you can verify it! Using the information above, solve the inhomogeneous ODE t²y" + 4ty' + 2y = 1 and find the function which satisfies the additional conditions y(e²) = 5 and y(e³) = e2 For this function, what is the value of y(1)?
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