An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients |
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| Authors: | Syed Md Himayetul Islam & J. Das |
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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. |
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| Keywords: | Lagrange's first-order partial differential equation linear functions simultaneous ordinary differential equations linear homogeneous algebraic equations |
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