Question

In euler theorem  x ^∂z⁄∂x + y ^∂z⁄∂y = nz, here ‘n’ indicates?

(a) order of z

(b) degree of z

(c) neither order nor degree

(d) constant of z

This question was posed to me during an internship interview.

My question is taken from Euler’s Theorem topic in division Partial Differentiation of Engineering Mathematics

Answer 1

Right answer is (a) order of z

To explain: Statement of euler theorem is “if z is an homogeneous function of x and y of order ‘n’ then  x ^∂z⁄∂x + y ^∂z⁄∂y = nz”.