(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The rate of increase of thickness of ice on a pond is inversely proportional ro the thickness of ice already present. It is known that,when the thickness is x cm and the temperature is of the air above the ice is -a degrees celcius, the rate is [itex]\frac{ax}{14400} cms^{-1}[/itex] . Form an appropriate diff. eq'n and show that, if the air temp is -10 degrees Cel. , the time taken for the thickness to increase from 5 com to 6 cm is a little more than 2 hours

2. Relevant equations

3. The attempt at a solution

"The rate of increase of thickness of ice on a pond is inversely proportional or the thickness of ice already present."

[tex] \frac{dx}{dt} \alpha x => \frac{dx}{dt}=kx[/tex]

therefore [tex] lnx=Ae^{kt}[/tex] and that looks wrong as I have yet to use the given rate...I am confused about the thickness and the given rate

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# Homework Help: Forming differential equationsfrom words to formula

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