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The Meth­od of Sep­ar­a­tion of Vari­ables is almost the stand­ard meth­od for solv­ing the sort of dif­fer­en­tial equa­tions found all over phys­ics. It will solve equa­tions like the Heat Equa­tion, the Wave Equa­tion and the Sch­rodinger Equa­tion with ease.

Return to Dif­fer­en­tial Equations

Video # Video Tutori­al Title Remarks
1 Intro­duc­tion to Sep­ar­a­tion of Variables The fun­da­ment­als of using this very power­ful tech­nique to solve dif­fer­en­tial equations
2 Char­ac­ter­ist­ic Equa­tion 2/2 Deriv­a­tion of the Char­ac­ter­ist­ic Equation
3 Sep­ar­a­tion of Vari­ables Example 1  V” = 0 to include the use of Four­i­er Series
4 Sep­ar­a­tion of Vari­ables Example 2  V” = 0 (new bound­ary con­di­tions) to include the use of Four­i­er Series
5 Sep­ar­a­tion of Vari­ables Example 3  V” = 0 (new bound­ary con­di­tions) to include the use of Four­i­er Series
6 Prop­er­ties of Sep­ar­able Solutions  Why sta­tion­ary state solu­tions are the fun­da­ment­als of Quantum Mechanics

 

 

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