Solving differential equations with initial conditions
How much would it cost to solve this one:
Suppose organisms grow in mass according to the differential equation
dm/dt = αtn
where m is measured in grams and t is measured in days. For the following values for n and α, (n = -1/2, α = 2)
1.Find the units of α
2.Suppose that m(0) = 5g. Find the solution
3.Sketch a graph of the rate of change and solution
4.Describe your results in words.