AP EAPCET 08-Jul-2022 Shift 2 Paper

Section: Mathematics

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Question : 79 of 160

Marks: +1, -0

Suppose that f(x,y) and g(x,y) are homogeneous functions of same order. If x=Vy reduces the equation ‌

dy

dx

=‌

f(x,y)

g(x,y)

to the form ‌

dV

dy

=‌

1

y

(F(V)), then F(V)=

(‌
f(1,V)
g(1,V)
−V)
(‌
f(V,1)
g(V,1)
−V)
(‌
g(1,V)
f(1,V)
−V)
(‌
g(V,1)
f(V,1)
−V)

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