Finding Solutions to IVPs with Continuous Coefficients

  • Thread starter Thread starter stanford1463
  • Start date Start date
  • Tags Tags
    General Ivp
stanford1463
Messages
44
Reaction score
0

Homework Statement


Find all solutions of the IVP y'' + a(t)y' + b(t)y = 0, y(t0) = 0, y'(t0) = 0 where t0 is any fixed point on the t-axis and the coefficients are continuous.


The Attempt at a Solution


I know this has to do with the Existence and Uniqueness theorem. How would I apply that and solve this? Is the general solution y = c1y1 + c2y2? I'm not sure how to solve this...
 
Physics news on Phys.org
Bump...any suggestions?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
View full post »

Similar threads

Avoid unpleasant integrals in solving IVP
Replies
3
Views
2K
Existence and Uniqueness For ODE
Replies
6
Views
2K
Prove that solutions to autonomous first order DE can't have local maxima
Replies
2
Views
1K
First-order nonlinear differential equation
Replies
6
Views
2K
How to get general solution via Green's function?
Replies
1
Views
2K
ODE's: IVP Existence/Uniqueness
Replies
2
Views
2K
IVP ODE checking specifics of solution
Replies
1
Views
1K
Show uniqueness in Dirichlet problem in unit disk
Replies
6
Views
2K
Laplace Transform for Solving a First Order Linear IVP
Replies
26
Views
3K
Laplace (IVP): Having Trouble Understanding Solution Manual's Answer
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top