If
and
, separate variables in the differential equation to get

Integrate both sides:

Use the initial condition to solve for
:

Then the particular solution to the initial value problem is

(A)
6 : 2/3.....multiply by 3
18 : 2...reduce
9:1 or 9/1
The answer is B, $19.86 because 79.44/4=19.86
Answer:
√a(√a + 2) a - 2√a
----------------- = -----------------
a - 4 a - 4
Step-by-step explanation:
I am assuming that by "sqrt(a)/sqrt(a)-2" you meant:
√a
----------
√a - 2
To rationalize the denom., multiply numerator and denom. of this fraction by the conjugate of √a - 2, which is √a + 2:
√a(√a + 2)
-----------------
a - 4