(a) Solve the differential equation dy/dx 4/x + 6x 2 given the condition, y(4) = 3. (b)...

Question:

(a) Solve the differential equation dy/dx 4/√x + 6x2 given the condition, y(4) = 3.
(b) The population, N, of a small country is currently 5 million. It is expected that this population will grow according to the differential equation.
dN/dt = 0.015N
where t is measured in years.
Solve this equation to express N in terms of t and hence predict how many years it will take for the population to double. Give your answer to one decimal place.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: