TY - JOUR
T1 - A note on separation of variables
AU - Cherniavsky, Yonah
PY - 2011/1
Y1 - 2011/1
N2 - We write down very simple, necessary and sufficient conditions for the additive and multiplicative separability of variables: v(x1, x2,...,xn)=g1(x1)+g2(x2) +...+ gn(xn) or u(x1, x2,...,xn)=f1(x1)f2(x2) fn(xn).
AB - We write down very simple, necessary and sufficient conditions for the additive and multiplicative separability of variables: v(x1, x2,...,xn)=g1(x1)+g2(x2) +...+ gn(xn) or u(x1, x2,...,xn)=f1(x1)f2(x2) fn(xn).
KW - Differential equation
KW - Function of many variables
KW - Separability
UR - http://www.scopus.com/inward/record.url?scp=78650278081&partnerID=8YFLogxK
U2 - 10.1080/0020739X.2010.519793
DO - 10.1080/0020739X.2010.519793
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AN - SCOPUS:78650278081
SN - 0020-739X
VL - 42
SP - 129
EP - 131
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
IS - 1
ER -