1.

Express each of the following physical statements in the form of differential equation (i) radium decays at a rate proportional to the amount Q present (ii) The population P of a city increases at a rateproportional to the product of population and to the difference between 500000 and the population (iii) Fora certain substance the rateof changeof vaporpressurep with respect to temperature T is proportional to the vapor pressure and inversely proportional to the square of the temperature A saving amount pays 8% interest per year compounded continously in additionthe income from another investment is credited to the amount continously at the rate of Rs 400 per year

Answer»


ANSWER :(i) kQ[`before` K DECAY constant]
(ii) KP(5000-P)[`before` is a constant]
(iiii) `K(P)/(T^(2))[before "k is a constant"]`
(IV) `(2x)/(25)+400`


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