# Answer to Question #14969 in Differential Equations for Julia

Question #14969

Set up a differential equation of ionizing emission in gas environment that gives the relation between number of ions and time.

Expert's answer

Let we have a gas environment and q is the number of positive (negative)

ions

that appear every second.

Suppose at moment t there are n ions. As

positive and negative ions join,

their number decreases in rate proportional

to n^2 every second.

Then the differential equation is the

following:

dn / dt = q - a*n^2,

where a is a constant that depends

on gas environment characteristics.

ions

that appear every second.

Suppose at moment t there are n ions. As

positive and negative ions join,

their number decreases in rate proportional

to n^2 every second.

Then the differential equation is the

following:

dn / dt = q - a*n^2,

where a is a constant that depends

on gas environment characteristics.

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