Application of Differential Equation in Real Life
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This presentation discusses applications of differential equations in real life, including Newton's Law of Cooling, exponential population growth, radioactive decay, and falling objects. It will be presented by Md. Sumon Sarder and explores differential equation models for how temperature changes over time according to Newton's Law, how a population grows exponentially assuming positive population and growth rate, how radioactive material decreases exponentially over time, and the differential equation that describes falling objects. The presentation concludes with an opportunity for any questions.
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Application of Differential Equation in Real Life
- 1. Welcome To Our Presentation ThisPresentation will be Presented By Md. Sumon Sarder (161 – 15 -953)
- 2. Application of Differential Equationin Real Life
- 3. Newton's Law ofCooling The expression is given by : T(t) = Te + (To - Te)e - k t This expression shows how the temperature T of the object changes with time.
- 4. Exponential Growth -Population The final form of the solution is given by : P(t) = P0 ek t Assuming P0 is positive and since k is positive, P(t) is an increasing exponential. d P / d t = k P is also called an exponential growth model.
- 5. Exponential Decay -Radioactive Material The solution may be written as follows : M(t) = M0 e- k t Assuming M0 is positive and since k is positive, M(t) is an decreasing exponential. d M / d t = - k M is also called an exponential decay model.
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