Find all solutions to the differential equation y=10y'.Is this a differential equation for exponential decay or exponential growth? what is the doubling time/half-life?
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Expert's answer
2012-11-27T08:47:26-0500
y=10y' =>y=10dy/dx =>0.1dx=dy/y =>0.1x+C=lny=>y=Cexp(0.1x) It's a growth, with double time0.1/ln2
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