Q.

Statement (I) : The elimination of arbitrary constants from α,β and γ from y=(α+β+γ)x results in a differential
equation of order three
Statement (II) : The elimination of arbitrary constant α,β and γ from y=(αx+β sin x+γex) x results in a differential equation of order three Make the correct choice of the following

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a

I is true and II is true 
 

b

I is false and II is true 
 

c

I is true and II is false 
 

d

I is false and II is false 
 

answer is D.

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Detailed Solution

Statement(I):GivenEquationy=(α+β+γ)Order=1[α+β+γ  isoneorbitaryconstant]FalseStatement(II):GivenEquationy=αx+βsinx+γexOrder=3True

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