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Question

Mathematics Question on Differential Equations

Match List I with List II

| Homogeneous function| | Degree
---|---|---|---
A.| f(x,y)=x13+y13x12+y12f(x,y)=\frac{x^\frac{1}{3}+y^\frac{1}{3}}{x^\frac{1}{2}+y^\frac{1}{2}}| I.| 3
B.| f(x,y)=x+yx+yf(x,y)=\frac{x+y}{\sqrt{x}+\sqrt{y}}| II.| 12\frac{1}{2}
C.| f(x,y)=x4+y4x+yf(x,y)=\frac{x^4+y^4}{x+y}| III.| 1
D.| f(x,y)=x3+y3x+yf(x,y)=\frac{\sqrt{x^3+y^3}}{\sqrt{x}+\sqrt{y}}| IV.| 16-\frac{1}{6}

Choose the correct answer from the options given below:

A

A II, B IV, CI, D III

B

A IV, B II, C I, D III

C

A III, B I, C II, D IV

D

A I, B III, C IV, D II

Answer

A IV, B II, C I, D III

Explanation

Solution

The correct option is(B):A IV, B II, C I, D III