Jean Le Rand D'Alambert Reduction Method (update:22-06-07)

Reduction method

In this Matlab application was perused Jean Le Rand D'Alambert's** Reduction Method for two degree of linear differential equations and several analytical examples are compared with matlab solution applications.

**Jean d'Alembert was a a French mathematician who was a pioneer in the study of differential equations and their use of in physics. He studied the equilibrium and motion of fluids (1717-1783).

Example reduction method;

[Analytical problem]
y'' - 4xy' + [4x^2-2]y = 0 and equation's is know one solution
y1(x)=exp(x^2)

[Matlab application]
Dalambert(1,-4*x,(4*x^2-2),exp(x^2),1)

In this zip archive;
Example1.pdf (matlab&analytical sol.)
Example2.pdf (analytical solution)
Example3.pdf (analytical solution)
Readme.html (several examples,Matlab)
Damalbert.m (sub function)
Example.m (func. runing module)

[References]
[1] Differential equations,PhD.Frank Ayres, Schaum's outline series and McGraw-Hill Company ,1998

[2] Mathematical handbook of formulas and tables,PhD. Murray R. Spiegel, PhD. John Liu, Second edition,McGraw-Hill book company,2001,ISBN:0-07-038203-4

[3] Differansiyel denklemler,Yrd.Doç.Dr. A.Neþe Dernek, Doç.Dr.Ahmet,Dernek, Marmara university,Deniz book publisher,Istanbul,1995