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Question

If 2x=y1/5+y1/5 then (x21)d2ydx2+xdydx=


A

5y

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B

25y

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C

25 y2

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D

y + 25

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Solution

The correct option is B

25y


Consider (y1/5+y1/5)2=(y1/5y1/5)2+4
y1/5y1/5=2x21
y1/5=x+x21 y=(x+x21)5
dydx=5(x+x21)4(1+2x2x21)
(x21)(dydx)2=25 y2
Again differentiate wrt.x


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