TY - JOUR
T1 - An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients
AU - Islam , Syed Md Himayetul
AU - Das , J.
JO - Journal of Partial Differential Equations
VL - 3
SP - 208
EP - 224
PY - 2015
DA - 2015/09
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n3.2
UR - https://global-sci.org/intro/article_detail/jpde/5111.html
KW - Lagrange's first-order partial differential equation
KW - linear functions
KW - simultaneous ordinary differential equations
KW - linear homogeneous algebraic equations
AB -  An alternative method of solving Lagrange's first-order partial differential equation of the form $$(a_1x+b_1y+c_1z)p+(a_2x+b_2y+c_2z)q=a_3x+b_3y+c_3z,$$ where p=∂z/∂x, q=∂z/∂y and a_i, b_i, c_i (i=1,2,3) are all real numbers has been presented here.