In today's lecture, we learnt more about the application of DE in real-life.
1. Radioactive decay (You need to understand the term "half life", which means the time taken for the material to distintegrate into half of its original amount. )
2. Newton's law of cooling (The rate of decreasing of a object's temperature is directly proportional to the temperature difference between the object and the surrounding. )
3. Change of volume with time.
For this type of questions, you can follow the steps below to solve the problem.
- Look for key phrases that gives you the differential equation, which is usually a statement on the "rate of increase/decrease".
- Form the DE and solve it to have a general solution. (A solution might have one or two unknown constants.)
-Look for other data given in the questions. Use these data to solve for the unknown constants in the previous step.
By now we have finished the chapter DE, you can attempt all the tutorial questions.
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