$\"\"$

\

The amount of glucose in the body stream is $\"\"$ .

\

The time period is $\"\"$ .

\

Glucose added to the body stream at the rate of $\"\"$ units per minute.

\

And removes glucose from the bodystream is proportional to the the amount present.

\

(a)

\

Find the differential equation for the rate of change of glucose in the body stream at time $\"\"$ .

\

Therefore, the equation is $\"\"$ . $\"\"$

\

(b)

\

Solve the differential equation.

\

The differential equation is $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Solve the equation when $\"\"$ at time $\"\"$ .

\

The equation is in the form of $\"\"$ .

\

The differential equation is a first order linear differential equation.

\

Solution of the first order linear differential equation is $\"\"$ is $\"\"$ .

\

Here $\"\"$ and $\"\"$ .

\

Find $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ . $\"\"$

\

The solution of differential equation is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Therefore, the function is $\"\"$ . $\"\"$

\

(c)

\

Find the limit of $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

(a) The differential equation is $\"\"$ .

\

(b) The function is $\"\"$ .

\

(c) $\"\"$ .