Maths Book back answers and solution for Exercise questions - Mathematics : Differentials and Partial Derivatives: Homogeneous Functions and Eulerâ€™s Theorem - Exercise Problem Questions with Answer, Solution

**EXERCISE 8.7**

**1. In each of the following cases, determine whether the following function is homogeneous or not. If it is so, find the degree.**

**2. Prove that f (x, y) = x3 âˆ’ 2x2y + 3xy2 + y3 is homogeneous; what is the degree? Verify Eulerâ€™s Theorem for f .**

**3. Prove that g(x, y) = x log (y/x) is homogeneous; what is the degree? Verify Eulerâ€™s Theorem for g.**

**Answers:**

**1. (i) not homogeneous (ii) Homogeneous, deg.3 (iii) homogeneous, deg.0 (iv) not homogeneous**

**6. 5**

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12th Maths : UNIT 8 : Differentials and Partial Derivatives : Exercise 8.7: Homogeneous Functions and Eulerâ€™s Theorem | Problem Questions with Answer, Solution

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