This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Or X = A 4 sinh x + B 4 Which form to use, depends on the boundary conditions. Recall that the hypebolic sine vanishes ONLY at x = 0 and the hyperbolic cosine is always positive. If we use the following form of the general solution X = A 3 cosh x + B 3 then the derivative X wil be X = A 3 sinh x + B 3 The Frst boundary condition X (0) = yields B 3 = 0 and clearly to satisfy the second boundary condition we must have A 3 = 0 (recall cosh x is never zero thus the coecient A 3 must vanish). Any other form will yields the same trivial solution, may be with more work!!! 21...
View Full Document
- Fall '08