Suppose y = A cosh (11) + B sinh (11x), and A and B are arbitrary constants. If you are not familiar with the hyperbolic functions, cosh (x) = **te, sinh (x) = But the only facts you need for this problem are cosh' = sinh and sinh' = cosh. 2 Find the following. Y (x) = y" (x) = If possible, rewrite your answer to the previous part in terms of y only: y" (x) = %3D Give a two-parameter family of solutions of the differential equation da 121y . Use A and B as the names of the parameters. y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose y = A cosh (11) + B sinh (11x), and A and B are arbitrary constants.
If you are not familiar with the hyperbolic functions, cosh (x) = **te, sinh (x) =
But the only facts you need for this problem are cosh' = sinh and sinh' = cosh.
2
Find the following.
Y (x) =
y" (x) =
If possible, rewrite your answer to the previous part in terms of y only:
y" (x) =
%3D
Give a two-parameter family of solutions of the differential equation
da
121y .
Use A and B as the names of the parameters.
y =
Transcribed Image Text:Suppose y = A cosh (11) + B sinh (11x), and A and B are arbitrary constants. If you are not familiar with the hyperbolic functions, cosh (x) = **te, sinh (x) = But the only facts you need for this problem are cosh' = sinh and sinh' = cosh. 2 Find the following. Y (x) = y" (x) = If possible, rewrite your answer to the previous part in terms of y only: y" (x) = %3D Give a two-parameter family of solutions of the differential equation da 121y . Use A and B as the names of the parameters. y =
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