Transforms And Partial Differential Equations: UNIT III: Application Of Partial Differential Equations
Exercise
Problems on vibrating string with non-zero initial velocity
Transforms And Partial Differential Equations: UNIT III: Application Of Partial Differential Equations: Exercise
EXERCISE 3.3(b).
1. A taut string of length 20 cm fastened
at both ends is displaced from its position of equilibrium by imparting to each
of its points an initial velocity given by
x being the distance from one end.
Determine the displacement at any subsequent time.
2. A string is stretched between
two fixed points at a distance of 60 cm and the points of the string are given
initial velocities v, where
x being the distance from an end
point. Find the displacement of the string at any time.
Transforms And Partial Differential Equations: UNIT III: Application Of Partial Differential Equations : Tag: : Problems on vibrating string with non-zero initial velocity - Exercise