On Some Special General Integrals of a Linear Differential Equation of Second Order
On Some Special General Integrals of a Linear Differential Equation of Second Order
Summary: A linear homogeneous differential equation of second order with polynomial coefficients is considered. The degree of each polynomial is equal to the order of the derivative of the unknown function which is multiplied by. We obtain conditions for the existence of the two polynomial solutions of the differential equation as well its general solution. These results are applied to three other differential equations.
- Bulgarian Academy of Sciences Bulgaria
Диференциални уравнения, специално общо решение, полиномиални решения, условия на съществуване, special general solution, polynomial solutions, existence conditions, Differential Equations, Explicit solutions, first integrals of ordinary differential equations, Linear ordinary differential equations and systems, differential equations, 34A05
Диференциални уравнения, специално общо решение, полиномиални решения, условия на съществуване, special general solution, polynomial solutions, existence conditions, Differential Equations, Explicit solutions, first integrals of ordinary differential equations, Linear ordinary differential equations and systems, differential equations, 34A05
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