Math Problem Statement
x²r-2xs+t+q=0 solve by pde by monges method
Solution
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Math Problem Analysis
Mathematical Concepts
Partial Differential Equations
Monge's Method
Second-Order PDEs
Formulas
x^2 r - 2xs + t + q = 0
System of first-order PDEs: dz/dx = p, dz/dy = q, dp/dx = r, dp/dy = s, dq/dx = s, dq/dy = t
Characteristic equations: dx/x^2 = dy/(-2x) = dz/(t + q)
Theorems
Monge's Method
Method of Characteristics
Suitable Grade Level
Advanced Undergraduate or Graduate Level
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