Q. 36 B5.0( 1 Vote )

Solve each of the following initial value problems

,y(e) = 0

Answer :

,y(e) = 0



It is a homogeneous equation


Put y = vx


And


So,





On integrating both sides,



log xc


v = log(log xc)


put value of v,


log(log x) + k ……(1)


Put y = 0, x = e


0 = e log(log e) + k


k = 0


put in eq. (1),


y = x log(log(x))


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