what is the nature of Lagrange linear partial differential equations
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Lagrange's Linear Equation. A partial differential equation of the form Pp+Qq=R where P, Q, R are functions of x, y, z (which is or first order and linear in p and q) is known as Lagrange's Linear Equation. Then f (u, v) = 0 is general sol.
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The nature of Lagrange linear partial differential equations is of first-order and first-degree
Step-by-step explanation:
- Lagrange linear partial differential equation is a partial differential equation of the form Pp+Qq=R where P, Q, R are functions of x, y, and z
- e.g. xp + yzq = zx where P = x; Q= yz; R=zx
- Lagrange’s linear equation contains only the first-order partial derivatives which appear only with the first power
Therefore the nature of the Lagrange linear partial differential equation is of first-order and first-degree.
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