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Volume 28, Issue 3
An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients

Syed Md Himayetul Islam & J. Das

DOI: 10.4208/jpde.v28.n3.2

J. Part. Diff. Eq., 28 (2015), pp. 208-224.

Published online: 2015-09

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  • 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=∂z/∂x, q=∂z/∂y and a_i, b_i, c_i (i=1,2,3) are all real numbers has been presented here.
  • Keywords

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

  • AMS Subject Headings

35A25, 35A99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

him_u2000@yahoo.com (Syed Md Himayetul Islam)

jtdas2000@yahoo.com (J. Das)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-28-208, author = {Islam , Syed Md Himayetul and Das , J.}, title = {An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {3}, pages = {208--224}, 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=∂z/∂x, q=∂z/∂y and a_i, b_i, c_i (i=1,2,3) are all real numbers has been presented here.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/5111.html} }
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.
Islam , Syed Md Himayetul and Das , J.. (2015). An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients. Journal of Partial Differential Equations. 28 (3). 208-224. doi:10.4208/jpde.v28.n3.2
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