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Engineering Maths · Q65

Differential Equations

Engineering and GATE · Engineering Maths · question 65

Q65

A function n(x) satisfies the differential equation d^2 n ( x ) d x^2 - n ( x ) L^2 = 0 where L is a constant. The boundary conditions are: n(0) = K and n( ) = 0. The solution to this equation is

A function n(x) satisfies the differential equation    where L is a constant. The boundary conditions are: n(0) = K and n() = 0. The solution to this equation is
A.
n(x) = K exp(x/L)
B.
n(x)= K exp(-x/√L)
C.
n(x) = K2 exp(-x/L)
D.
n(x) = K exp(-x/L)
Answer

Answer: Option D

Solution

Answer: Option D
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