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Find The Value (Posted on 2008-01-28) Difficulty: 2 of 5
H(y) is a continuous function such that:
     y
   H(n) dn  = H(y)
    0
Determine H(10)+ H(20)

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

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Solution solution Comment 1 of 1

from the fundamental theorem of calculus we have that

H'(y)=H(y)  now this is that famous differential equation with solution

H(y)=c*e^y

now puting this into the integral equation we get

c*(e^y - 1)=c*e^y

now the only solution is c=0 thus

H(y)=0

and H(10)+H(20)=0

 


  Posted by Daniel on 2008-01-28 12:13:55
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