Consider the following finite string problem

where

and for with , and

where

, if and is 0 otherwise.(sorry i dont know how to enter this as a array)

give the equation of the solution for t = 2

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- Feb 23rd 2009, 02:49 PMr2dee6Finite string Partial differential equation prob
Consider the following finite string problem

where

and for with , and

where

, if and is 0 otherwise.(sorry i dont know how to enter this as a array)

give the equation of the solution for t = 2 - Feb 23rd 2009, 04:30 PMHallsofIvy
What course is this for? It looks like a straightforward separble equation. If you let then the equation becomes XT"= X"T or T"/T= X"/X. Since the left hand side is a function of t only and the right hand side is a function of x only, each side must be a constant. Calling that constant , we have or and or .

However, there is a problem with the additional conditionsl. Since this equation is second order in both x and t, you need**two**boundary and**two**initial conditions. You have only one of each. - Feb 23rd 2009, 05:38 PMr2dee6
Its for the partial differential equations course. Im not sure how to go about doing it as I am self teaching myself the course