In a chemical reaction in which a compound X is formed from a compound Y and other substances, the masses of X and Y present at time t are x and y respectively. The sum of the two masses is constant and at any time the rate at which x s increasing is proportional to the product of the two masses at that time. Show that the equation governing the reaction is of the form
and interpret the constant a. If at time t=0, find in terms of k and a the time at which
I have completed the first part where a is the sum of x and y.
For the next part I know that I have to solve the differential equation and plug the values of t and x.
Then I used partial fractions to integrate
Now I don't know how to proceed, and I can't get the equation right to find the A.