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Welcome To Our
Presentation
This Presentation will be Presented By
Md. Sumon Sarder (161 – 15 -953)
Application of Differential
Equation in Real Life
Newton's Law of Cooling
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.
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.
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.
Falling Object
Thank You
Any Questions?

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Differential Equations in Real Life: Newton's Law, Population Growth, Radioactive Decay

  • 1. Welcome To Our Presentation This Presentation will be Presented By Md. Sumon Sarder (161 – 15 -953)
  • 3. Newton's Law of Cooling 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.