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. 5. dy 2x+5y dx 2x-y

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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.
5.
dy 2x+5y
dx 2x-y
Transcribed Image Text: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. 5. dy 2x+5y dx 2x-y
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