MATHEMATICS II - Deneme Sınavı - 5

herefore, after 20 years,

Therefore, after 20 years,

then the solution is

The correct answer is A.

then

Since,

and the solution is

The correct answer is C.

is the first order ODE with constant coefficent. The particular solution is the form of  

  Substuting

in the equation we

and

The correct answer is E.

Substituting these results in the ODE gives

So, the general solution is given by

The correct answer is D.

Using the initial condition

hence “+” sign chosen

The correct answer is B.

into the suggested equations, we find that the only equation that is satisfied is D. Indeed

The correct answer is D.

The correct answer is E.

Then we get 

and

Substituting these results into the ODE, we obtain the equation in the form

So, the general solution is

The correct answer is C.

Substituting these results in the ODE gives

so we get,

Then the general solution is

The correct answer is B.

and that at

the population is

Hence, from

So after 12 hours,

The correct answer is A.

Therefore, the correct answer is B.

This is a separable differential equation hence we may write

This may be rewritten as

if we say

then the solution is

The correct answer is A.

Then the solution can be written as

If we use the initial condition we get that

Thus, we can write the solution as:

Thus, the correct answer is D.

and substitute it into the differential equation. Then the characteristic equation is

So, the general equation can be written as

The correct answer is E.