Tag: a differential equation is an eq

A differential equation is an equation which contains derivatives of the unknown. (Usually it is a mathematical model of some physical phenomenon

1234 days ago

A differential equation is an equation involving an unkonwn function y, derivatives of it and functions of the independent variable.

1245 days ago

A differential equation is an equation which contains an unknown function and one of its unknown derivatives. Here is a differential equation.
dy/dt = .028y
It doesn’t look too exciting does it? Really it is, though. It might for example represent your bank account, where the balance is y at a time t years after you open the account, and the account is earning 2.8% interest. Regardless of the specific interpretation, let’s see what the equation says. Since we see the term dy/dt we can tell that y is a function of t, and that the rate of change is a multiple, namely .028, of the value of y itself. We definitely should always write y(t) instead of just y, and we will sometimes, but it is traditional to be sloppy.

1245 days ago

A differential equation is an equating relating an unknown function to its derivative(s). It is easiest to give examples – in all of the following, y is a function of t.

1245 days ago