Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.Community Questions
First order differential equations
Differential equations with only first derivatives.
How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. How do you like me now (that is what the differential equation would say in response to your shock)!
Arguably the 'easiest' class of differential equations. Here we use our powers of algebra to "separate" the y's from the x's on two different sides of the equation and then we just integrate!
A very special class of often non-linear differential equations. If you know a bit about partial derivatives, this tutorial will help you know how to 'exactly' solve these!
In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations). Actually, the term "homogeneous" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).