Answer:
Decreases
Step-by-step explanation:
We need to determine the integral of the DE;
We can solve this by integration by parts on the left side. We expand the fraction 1/P²:
let
Substitute u in:
Therefore the equation is:
We simplify:
As t increases to infinity P will decrease
Subtract 14x from both sides to get
Subtract 12 from both sides to get
Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get
Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e. ). But this is not the case since 6 is positive, so we mantain the inequality sign:
on the other. We can simplift both sides, i.e. sum like terms, to get
Evaluate left and right hand side:
