WORKSHEET NO. 5A function F (x,y) is said to be homogeneous of degree n if F(yx, yy) = y¹ F(x,y)Determine which of the following functions are homogeneous and thecorresponding degree. If the differential equation contains homogeneousfunctions, find its solution.6. + 3)

Given the differential equation dydx=12xy+yx.

Answered: A function F (x,y) is said to be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A function F (x,y) is said to be homogeneous of degree n if F(yx, yy) = y^ F(x,y) Determine which of the following functions are homogeneous and the corresponding degree. If the differential equation contains homogeneous functions, find its solution.