if z is a homogeneous function of degree n , then Euler's formula indicates that
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Step-by-step explanation:
here is a theorem, usually credited to Euler, concerning homogenous functions that we might be making use of. A homogenous function of degree n of the variables x, y, z is a function in which all terms are of degree n.
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The Euler's formula indicates that x * ∂z⁄∂x + y * ∂z⁄∂y = n*z.
Step-by-step explanation:
- Euler’s theorem is utilized to set up a relationship between the halfway subordinates of a work and the item of the work with its degree.
- Since the given function is homogeneous of order n, Therefore by Euler's theorem x ∂z⁄∂x + y ∂z⁄∂y = n*z.
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