perplexus.info :: Calculus : Find The Value

Find The Value (Posted on 2008-01-28)

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: 3.3333 (3 votes)

Solution: (Hide)

The required value of H(10)+ H(20) is 0.

EXPLANATION:

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

and, HТ(y) = H(y)......(ii)

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

H(y) = k*e^y, 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
	solution	Daniel	2008-01-28 12:13:55

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