1 √6x³y-5xy³ +7x²y-9xy² 2 (x² + y²) exp 2x 3 x Inx-y Iny 4 x+3x-kyk + y^ x² - y² X x²sin+y²cos+xy Inx+y x-y + 4xy X Homogeneous Homogeneous Degree Not

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Complete the table below. Choose if the given functions are homogenous (with their degree) or not homogenous. Show the solution.

2
3
4
5
√6x³y-5xy³ +7x²y-9xy²
(x² + y²) exp
x Inx-y Iny
x+3x-kyk + y^
x² - y²
2x
Y
X
+ 4xy
x²sin+y²cos+xy In?
X
x+y
x-y
Homogeneous
Homogeneous
Degree
Not
Transcribed Image Text:2 3 4 5 √6x³y-5xy³ +7x²y-9xy² (x² + y²) exp x Inx-y Iny x+3x-kyk + y^ x² - y² 2x Y X + 4xy x²sin+y²cos+xy In? X x+y x-y Homogeneous Homogeneous Degree Not
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