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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)

  Submitted by K Sengupta    
Rating: 2.5000 (2 votes)
Solution: (Hide)
The required value of H(10)+ H(20) is 0.

EXPLANATION:

From the given relation, we have: H(0) = 0……..(i)

and, H’(y) = H(y)......(ii)

Solving the differential equation in (ii), we have:

H(y) = k*ey, where k is a constant.

But, H(0) = 0 in terms of (i), so that:

0 = k*1, so that: k = 0

Accordingly, H(y) = 0, so that:

H(10) + H(20) = 0

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionDaniel2008-01-28 12:13:55
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