Suppose y = C₁ cosh(kx) + C₂ sinh(kx) where k> 0 is a constant, and C₁ and C₂ are arbitrary constants. Find the following. Enter C₁ as "C1" and C2 as "C2". dy help (formulas) dx d²y dx² help (formulas) Rewrite your answer to the previous part in terms of y. d²y help (formulas) dx² Find the general solution to d²y dx² = 49y. Enter your answer as an equation y =?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ORDINARY DIFF EQUATIONS

Suppose y = C₁ cosh(kx) + C₂ sinh(kx) where k> 0 is a constant, and C₁ and C₂ are arbitrary constants. Find
the following. Enter C₁ as "C1" and C2 as "C2".
dy
help (formulas)
dx
=
d²y
help (formulas)
dx²
Rewrite your answer to the previous part in terms of y.
d²y
help (formulas)
d.x²
=
Find the general solution to
->
3-1
d²y
dx²
=
49y. Enter your answer as an equation y =?.
help (equations)
Transcribed Image Text:Suppose y = C₁ cosh(kx) + C₂ sinh(kx) where k> 0 is a constant, and C₁ and C₂ are arbitrary constants. Find the following. Enter C₁ as "C1" and C2 as "C2". dy help (formulas) dx = d²y help (formulas) dx² Rewrite your answer to the previous part in terms of y. d²y help (formulas) d.x² = Find the general solution to -> 3-1 d²y dx² = 49y. Enter your answer as an equation y =?. help (equations)
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