# Answer to Question #19587 in Calculus for Oge Odita

Question #19587

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?

Expert's answer

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

It's a growth, with double time0.1/ln2

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