An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients

Authors

  • Syed Md Himayetul Islam Fatullapur Adarsha High School, Vill.-Fatullapur, P.O.-Nimta, Dist.-North 24-Parganas, Kolkata-700049, India
  • J. Das Department of Pure Mathematics, Calcutta University, 35 Ballygunge Circular Road, Kolkata-700019, West Bengal, India

DOI:

https://doi.org/10.4208/jpde.v28.n3.2

Keywords:

Lagrange's first-order partial differential equation;linear functions;simultaneous ordinary differential equations;linear homogeneous algebraic equations

Abstract

" 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=\u2202z\/\u2202x, q=\u2202z\/\u2202y and a_i, b_i, c_i (i=1,2,3) are all real numbers has been presented here."

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Published

2015-09-05

Issue

Vol. 28 No. 3 (2015)

Section

Articles