Generalization of Euler's equations

Nail H. Ibragimov
2009 Quarterly of Applied Mathematics  
A wide class of linear ordinary differential equations reducible to algebraic equations is studied. The method for solving all these equations is given. The new class depends essentially on two arbitrary functions and contains the constant coefficient equations and Euler's equations as particular cases.
doi:10.1090/s0033-569x-09-01126-3 fatcat:x7wdpy5aobhjpcakjxdtzpuluq