Q2: A uniform string of length (L) is stretched between the points (0,0) and (L,0) isvibrate due to an initial displacement f(x) and an initial velocity g(x) given by;πχ= 0.1 sin ;g(x) = -0.2 sin-2πχLIf the general solution by the separation of variables gives the equation;80cnut)Σ+Hn cos-n=1Find the constant G₁ and Hn.f(x)y(x, t) =ηπχLsin {G₁ sinсnntLCH

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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