Q2: A uniform string of length (L) is stretched between the points (0,0) and (L,0) is vibrate due to an initial displacement f(x) and an initial velocity g(x) given by; 2πχ L Π.Χ f(x) = 0.1 sin; g(x) = -0.2 sin L If the general solution by the separation of variables gives the equation; ηπ sin- Gn sin- L 80 Σ n=1 Find the constant G₁ and Hn. y(x, t) = сnnt L cnnt L + H₂ cos- C
Q2: A uniform string of length (L) is stretched between the points (0,0) and (L,0) is vibrate due to an initial displacement f(x) and an initial velocity g(x) given by; 2πχ L Π.Χ f(x) = 0.1 sin; g(x) = -0.2 sin L If the general solution by the separation of variables gives the equation; ηπ sin- Gn sin- L 80 Σ n=1 Find the constant G₁ and Hn. y(x, t) = сnnt L cnnt L + H₂ cos- C
Related questions
Question
Transcribed Image Text:Q2: A uniform string of length (L) is stretched between the points (0,0) and (L,0) is
vibrate due to an initial displacement f(x) and an initial velocity g(x) given by;
πχ
= 0.1 sin ;
g(x) = -0.2 sin-
2πχ
L
If the general solution by the separation of variables gives the equation;
80
cnut)
Σ
+Hn cos-
n=1
Find the constant G₁ and Hn.
f(x)
y(x, t) =
ηπχ
L
sin {G₁ sin
сnnt
L
CH
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
