Application Of De - The Made 4 Learners Framework Pdf

DIFFERENTIAL EQUATIONSPHYSICAL APPLICATIONDIFFERENTIAL EQUATIONSPHYSICAL APPLICATIONOne of the most important part of mathematics is its application to ideal situations. One of application is the Law of exponential change. The law states that the time of rate of change in a quantity is proportional to the quantity present at any time t DEMPCDIFFERENTIAL EQUATIONSPHYSICAL APPLICATIONDEMPCTwo process will be considered here is exponential growth in which quantity increases at a rate proportional to the number present , and exponential decay in which a substance decompose at a rate proportional to its amount at any instant.If Q is the amount present at any time t, thenPHYSICAL APPLICATIONDEMPCEquation (2) expresses the amount of Q present as a function of time t. In any problem involving exponential change, (2) can be applied. C and K can be solved by using given set of boundary conditionsDIFFERENTIAL EQUATIONSEXAMPLE 01DEMPC A bacteria culture is known to grow at a rate proportional to the amountpresent. At the start ( time t = 0 ) 1000 strands of bacteria are obser ved in theculture and after t = 4 hours, 3000 strands,Find: a) Find an expression for the number of strands Q as a function ofthe time t.b) the number of