Identify the degree of the homogeneous function f(x, y) = (x³ + y³) / (x − y). A. 1 B. 2 C. 3 D. 0 Answer: B) 2 Explanation: f(λx, λy) = (λ³x³ + λ³y³) / (λx − λy) = [λ³(x³+y³)] / [λ(x−y)] = λ² f(x,y). Since the power of λ is 2, the degree is 2.

imo class 12 differential equations

Identify the degree of the homogeneous function f(x, y) = (x³ + y³) / (x − y).

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Identify the degree of the homogeneous function f(x, y) = (x³ + y³) / (x − y).

Answer: B) 2

Explanation: f(λx, λy) = (λ³x³ + λ³y³) / (λx − λy) = [λ³(x³+y³)] / [λ(x−y)] = λ² f(x,y). Since the power of λ is 2, the degree is 2.