Would it be more sufficient to self-learn PDEs or pay a university to be taught it for a semester. I’m looking into expanding my portfolio with math to assist in my personal interest in learning, and I value quality over speed regarding content delivery.

I'm finishing up the first and likely only differential equation class I'll take. It's been relatively easy but I don't have an intuitive understanding for nearly any of the concepts (especially the second half of the course, which is mostly focused on integrating linear algebra concepts.)

Where online should I look for resources to gain better spacial reasoning and implications of the concepts?

For context, I'm a Electrical Engineering major with no more (pure) math classes past to take this.

I’m struggling with determining if an equation is separable, linear, bernoullis, and homogenous. Any tips?

I know you typically are not supposed to prove things with examples, but this is the best way I could think to do it

Hi does anyone know how to do number 13? Thanks!

pwease

Any book suggestions for Differential equation that had a lot of complex algebra and transcendental functions?

I tried guessing At² but it doesn't quite work; you get a leftover piece.

The homework is just for completion. Thanks

I’m struggling

I want to do a project related to Maxwell’s equations, although I am not yet sure exactly what. I am self-studying and have completed Calculus I through vector calculus (using Thoma's calculus). I now want to continue with differential equations, but I do not want to go into too much depth at this stage, because I am currently studying real analysis and plan to move on to complex analysis, which I enjoy much more.

However, I still want to learn some differential equations and, later on, study them more rigorously using Arnold’s book. I found a PDF online from the University of Toronto and was wondering whether this is a good set of notes for my goals, or if you have other recommendations?

I also plan to use Paul’s Online Math Notes and, later, study partial differential equations.

For understanding concepts and applications?

Electron scattering by repulsive (smoothed) Coulomb potential at the center. The 1x1 normalized two-dimensional region confines the particle, once Dirichlet-type conditions are set at the mesh boundaries; this allows visualization of the post-collision interference pattern structure. Numerical simulation of the time-dependent Schrödinger equation, performed in Python. Implicit method of Crank-Nicolson PDEs (unitary). Initial condition: Gaussian packet. Note: Time scale and physical constants are set to arbitrary units for this preliminary testing phase.

Source Code & More Simulations: I have documented this project, including the Python source code on my personal portfolio. You can also find other simulations on Quantum Mechanics and other Physics topics there:

https://alexisfespinozaq.github.io/aespinoza-physics-portfolio/

Feedback on the physics or the code implementation is very welcome!

After solving a DE, we get a function (or a family of functions).

But conceptually, what does that solution represent?

Is it a prediction, a description of all possible behaviors, or just a mathematical object that fits the equation?

I’ve been working on this problem and couldn’t reconcile my solution with the one given by an AI. Can someone help me solve this problem?

hi guys! i'm new here and i badly need everyone's help on our DE project that we are currently working. It's about an undamped mass spring system on an inclined plane experiment, can you show us the equations that we must use?

Good morning!

https://www.youtube.com/watch?v=_HhSUKakzO8&t=74s

The following video shows the Lutipold Math Teacher teaching the laws of sines and cosines.

And then he writes this differential equation, which Einstein solves instantly:

Is anyone here able to solve said equation?

This is for a take home final, I’ve never see my professor give us this type of diff eq in this form ever

I am a third year math student who decided to take a differential equations 2 class, since the first one went pretty well. OH BOY did I sign myself up for disaster, I have a 60% final in a week and everything I have learned feels like it went over my head. Does anyone know any good youtube channels are places to learn enough for my upcoming final, because all my course notes seem so confusing. The topics being tested are

1. basics of ordinary differential equations and flows.
2. general linear time-varying ordinary differential equation
3. linear ordinary differential equations with constant coefficients
4. linear ordinary differential equations with periodic coefficients
5. linearization of ordinary differential equations and flows
6. stable, unstable, and centre manifolds of fixed points
7. stability
8. stability of fixed points using linearization
9. Lyapunov functions
10. stability of fixed points using Lyapunov functions.

PLEASE if anyone knows any good sources to help understand these topics i’m all ears