Solve differential equations with initial conditions

Reference no: EM1317842

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.

Reference no: EM1317842

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