What is diff eq good for?

Differential equations have a remarkable ability to predict the world around us. They are used in a wide variety of disciplines, from biology, economics, physics, chemistry and engineering. They can describe exponential growth and decay, the population growth of species or the change in investment return over time.

Is diff eq a hard class?

Differential equations is a difficult course. Differential equations require a strong understanding of prior concepts such as differentiation, integration, and algebraic manipulation. Differential equations are not easy because you are expected to apply your acquired knowledge in both familiar and unfamiliar contexts.

How do you do Diff EQ?


  1. Substitute y = uv, and.
  2. Factor the parts involving v.
  3. Put the v term equal to zero (this gives a differential equation in u and x which can be solved in the next step)
  4. Solve using separation of variables to find u.
  5. Substitute u back into the equation we got at step 2.
  6. Solve that to find v.

What is order Diff EQ?

Order of Differential Equation The order of a differential equation is the order of the highest derivative (also known as differential coefficient) present in the equation. Example (i): d 3 x d x 3 + 3 x d y d x = e y.

Is Diff EQ useful for CS?

Differential equations will be more useful if you’re interested in modelling physical processes or populations. Personally, I’d consider linear algebra the more useful for a CS major. Green’s, Stokes, etc. aren’t particularly important for either, if I recall correctly.

What are ODEs in math?

An ordinary differential equation (frequently called an “ODE,” “diff eq,” or “diffy Q”) is an equality involving a function and its derivatives. An ODE of order is an equation of the form.

What is difference between order and degree?

The order of the differential equation is the highest derivative in the differential equation and the degree of the differential equation is the power of this highest derivative in the differential equation.

What is ordinary differential equation with example?

An ordinary differential equation is an equation which is defined for one or more functions of one independent variable and its derivatives. It is abbreviated as ODE. y’=x+1 is an example of ODE.

Is calculus 3 needed for computer science?

Most degrees require some understanding of calculus—many programs require students to reach Calculus III. Typically, computer science degree programs offer abstract algebra, discrete mathematics, graph theory, and other math courses alongside its computer science courses.

Are there notes for differential equations at Lamar University?

Here are my notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.

What is the main file of diffyqs?

The main file is diffyqs.tex, which includes the chapters that are in separate files ch-*.tex. I compile the pdf with pdflatex diffyqs. You also want to run makeindex to generate the index (I generally run pdflatex diffyqs three times, then makeindex diffyqs, and then finally pdflatex diffyqs again).

What is the book Differential Equations about?

The title is Differential Equations: Including Linear Algebra Topics And Computer-Aided Problem-Solving. The book removes some topics (e.g. PDEs), and adds its own linear algebra chapter (this was before appendix A). The book covers the use of the computer algebra system Maxima in the context of the material.

What happens if the differential equation is not in this form?

If the differential equation is not in this form then the process we’re going to use will not work. Where both p(t) p ( t) and g(t) g ( t) are continuous functions.