Applications of Differential Equations

Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation. Differential equations are useful in describing mathematical models involving population growth or radioactive decay.

Important Notes:

  • We can use the following notations for derivatives. (dy/dx) = y’, (d2y/dx2) = y”, (d3y/dx3) = y”’
  • The order and degree of a differential equation should be always positive integers.

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