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. Homogenous Functions: A function F(x1,x2,..., tn) is homogenous of degree k if F(A¤1, Ax2,..., Aan) = X*F(x1, x2,..., Tn) for any A> 0. Prove that if F is homogenous of degree 1, then F(x1, x2,... , Tn) =F(*1,2,..., Tn) · ti

. Homogenous Functions: A function F(x1,x2,..., tn) is homogenous of degree k if F(A¤1, Ax2,..., Aan) = X*F(x1, x2,..., Tn) for any A> 0. Prove that if F is homogenous of degree 1, then F(x1, x2,... , Tn) =F(*1,2,..., Tn) · ti

Advanced Engineering Mathematics
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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5. Homogenous Functions: A function F(r1, x2,..., xn) is homogenous of degree k if F(Ax1, Ar2,..., Aæn) = X*F(x1, x2,..., an) for any ) > 0. Prove that if F is homogenous of degree 1, then F(x1, 02,..., Tn) = , In) =F:(x1, x2,..., Tn) · Ti i=1
Transcribed Image Text:5. Homogenous Functions: A function F(r1, x2,..., xn) is homogenous of degree k if F(Ax1, Ar2,..., Aæn) = X*F(x1, x2,..., an) for any ) > 0. Prove that if F is homogenous of degree 1, then F(x1, 02,..., Tn) = , In) =F:(x1, x2,..., Tn) · Ti i=1
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