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Feb23-12, 08:26 PM   #1
 

Calc AB Differential Equation


1. The problem statement, all variables and given/known data

The rate of change of the amount of material in a jar is proportional to the square of the amount present with proportionality constant k=-3.

i) Write a differential equation for this situation
ii) Solve the differential equation AND find y if y=1 when t=1/3

2. Relevant equations
Not sure of the specific equation, but I know it has something to do with exponential equations


3. The attempt at a solution

dy/dt=-3y^2

seperate variables, integrate both sides, That's as far as I got, sorry :[
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