Differential Equations - Reduction of order

  • Thread starter Pinedas42
  • Start date
  • #1
12
0
General Question. How would I recognize when to do a full reduction of order versus using the formula y2=y1 integral(e^integral(P(x)dx)/y1^2)

So far I only know by when the homework problem set, specifies to use the formula or the reduction of order. However I want to know if I can tell somehow that the formula would not work for a specific problem.

I've been doing some practice problems and there are some that definitely cannot use the formula as I work through it so then I switch to reduction fo order. But there are some problems where I've done both ways out of curiosity and in both ways it resolves all the way, but I get two different solutions for y2.

Thank you!
 

Answers and Replies

Related Threads on Differential Equations - Reduction of order

Replies
1
Views
1K
Replies
10
Views
2K
Replies
1
Views
60
Replies
7
Views
20K
Replies
9
Views
3K
Replies
2
Views
4K
Replies
1
Views
4K
  • Last Post
Replies
5
Views
2K
Replies
2
Views
1K
  • Last Post
Replies
2
Views
590
Top