International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2017, Vol. 2, Issue 2, Part A

Explicit expression for a first integral and phase portrait for a class of planar differential system


Author(s): Rachid Boukoucha

Abstract:
where A1(x,y), A2(x,y), B1(x,y), B2(x,y), P(x,y), Q(x,y), R(x,y), S(x,y) are homogeneous polynomials of degree a, a, b, b, n, n, m, m respectively. Writing this system in polar coordinates, from which we can compute a formal First integral for the system. Finally, we give the curves which are formed by the trajectories for the system.

Pages: 23-25 | Views: 856 | Downloads: 143

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How to cite this article:
Rachid Boukoucha. Explicit expression for a first integral and phase portrait for a class of planar differential system. International Journal of Statistics and Applied Mathematics. 2017; 2(2): 23-25.
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