A differential equation is an equation that imposes relations between the various derivatives of a multivariable function.
It relates the rate of change of one variable in the function to the rates of change of other variables in the function.
Here we see a third order differential equation where we define a function u(t) that is made up of the coefficients, a, and the derivatives of a quantity y.
The relation between these individual derivative and coefficient groups always must add up to u(t).
In many physics equations, we see may see some similar form of equation, but with the result of the function always zero.
In such a form, one can describe virtually the whole of the phenomena one observes as a relationship of rates of change.
Requirements
- Basic Knowledge of What Derivatives Are
Features
- Differential Equations are the "Language of the Universe."
Target audiences
- Intermediate Calculus Learners