TY - JOUR
T1 - Analysis to the solutions of abel's differential equation of the first kind under the transformation y = u(x)z(x) + v(x)
AU - Salinas-Hernández, E.
AU - Muñoz-Vega, R.
AU - Sosa, J. C.
AU - López-Carrera, B.
PY - 2013
Y1 - 2013
N2 - In this work we study different analytical solutions which can be obtained from a new Abel equation of first kind, under the transformation y = u(x)z(x) + v(x), changing the variable to z(x), where the coefficients of this equation allow the construction of a system of auxiliary equation with φ1(x), φ2(x) and φ3(x) as free functions to the system. From the form of the system, different cases are obtained, whose details are described in this work.
AB - In this work we study different analytical solutions which can be obtained from a new Abel equation of first kind, under the transformation y = u(x)z(x) + v(x), changing the variable to z(x), where the coefficients of this equation allow the construction of a system of auxiliary equation with φ1(x), φ2(x) and φ3(x) as free functions to the system. From the form of the system, different cases are obtained, whose details are described in this work.
KW - Analytical solutions
KW - Change of variables
KW - First kind abel differential equation
KW - Mapping
UR - http://www.scopus.com/inward/record.url?scp=84875790661&partnerID=8YFLogxK
U2 - 10.12988/ams.2013.13187
DO - 10.12988/ams.2013.13187
M3 - Artículo
SN - 1312-885X
VL - 7
SP - 2075
EP - 2092
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
IS - 41-44
ER -