00:01
In this question, a differential equation is given along with the field or problem area in which it arises.
00:06
I'm going to classify it as an ordinary differential equation or a partial differential equation.
00:12
I'm going to give the order and indicate the independent and dependent variables.
00:17
If the equation is an ordinary differential equation, i'm going to indicate whether the equation is linear or non -linear.
00:24
So if i look at this, i've got y times the quantity of 1 plus dy dx being squared equals c, where c is a constant.
00:34
Now, first of all, this is an ordinary differential equation.
00:38
There are no partial derivatives involved in this equation.
00:44
So it's ordinary.
00:46
Now, is it a linear or a non -linear ordinary differential equation? notice that my dy dx this time is being squared.
00:57
Since it's being squared, this is a non -linear ordinary differential equation.
01:07
So there's this.
01:09
Okay.
01:10
Now, i have this non -linear ordinary differential equation...