Mathematics: Each person in a ticket line gets either one or two tickets. you are the 51st person in line. forty percent of the people in front of you get one ticket each, and the rest of the people in front of you get two tickets each. how many tickets will have been given out when you reach the ticket booth?

Each person in a ticket line gets either one or two

sameh0425

03.05.2023

The required value of c is -192.

Step-by-step explanation:

We are given the differential equation:

$xy'+2y=4x^2 \\(x0)$

The solution to the given differential equation is:

$y=x^2+\dfrac{c}{x^2}$

Initial condition:

y(4) = 4

Putting the values, in the solution, we get,

$4=(4)^2+\dfrac{c}{(4)^2}\\\\4 = 16+\dfrac{c}{(4)^2}\\\\\Rightarrow \dfrac{c}{(4)^2}=-12\\\Rightarrow c =-12(16)\\\Rightarrow c =-192$

Thus, the required value of c is -192.

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