Is is possible to learn second-order DE before first-order?

  • Thread starter Thread starter Turion
  • Start date Start date
Turion
Messages
145
Reaction score
2
My professor is complaining that the university is forcing her to skip over first-order DE.

We very briefly learned first-order DE in a Calculus class.

Does learning second-order DE rely on previous knowledge from first-order DE? The reason I am asking is because my time is limited.
 
Physics news on Phys.org
Learning about 1st order DEs shouldn't take too long ( Depending on how in depth you want to go ). Knowing how to separate variables, use integrating factors and use substitutions should be enough to give you a feel of 1st order DEs; if your time is as limited as you claim.

Second order DEs are completely different ( Though some can be turned into a first order DE ). You don't really need to know first orders to be able to do them, but I feel that would hurt the learning process personally.
 
Thread 'Direction Fields and Isoclines'
I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...

Similar threads

Replies
4
Views
2K
Replies
11
Views
3K
Replies
1
Views
2K
Replies
7
Views
2K
Replies
8
Views
546
Replies
4
Views
3K
Back
Top